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TITLE MATHEMATICAL TOPIC(S) RELATED SUBJECT AREA(S) SOURCE
MRI Depreciation

Linear Functions; Linear Depreciation; Business Applications

Social Sciences

Problem 90, page 33 found in R. Larson. Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Soda Manufacturer

Linear Functions; Linear Cost Function; Fixed Cost; Marginal Cost; Business Applications

Social Sciences

Problem 82, page 99 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Housing Development Revenue

Quadratic Function Models; Demand Function; Revenue Function; Business Applications

Social Sciences

Problem 33, page 143 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Manufacturing Profit

Piecewise-Defined Functions; Demand, Revenue, Cost, and Profit Functions; Business Applications

Social Sciences

Problem 76, page 47 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Gene Regulation

Squeeze Theorem; Sandwich Theorem; Limits

Biological; Mathematical

Problem 32, page 136 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Oscillating Population

Squeeze Theorem; Sandwich Theorem; Limits; Limit at Infinity

Mathematical

Problem 12, page 130 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd Edition, Prentice Hall, Pearson, 2011.”

Continuity of a Piecewise-Defined Function

Continuity and One-Sided Limits; Left Continuous; Right Continuous; Piecewise-Defined Functions

Mathematical

Problem 49, page 83 found in “J. Rogawski and C. Adams. Calculus, 3rd edition, W. H. Freeman and Company, New York, 2015.”

Movie Advertising

Continuity and One-Sided Limits; Piecewise-Defined Functions; Business Applications

Social Sciences

Problem 91, page 237 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Gravitational Force

Continuity and One-Sided Limits; Limits; Piecewise-Defined Functions

Physical; Mathematical

Problem 36, page 148 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Sciences, Cengage Learning, 2015.”

Fungal Growth

Continuity and One-Sided Limits; Limits; Graph of Piecewise-Defined Functions

Biological; Mathematical

Problem 50, page 120 found in C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018.

Salt Concentration

Limits at Infinity; Mixture Problem

Physical

Exercise 34, page 110 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Falling Raindrop

Limits at Infinity; Terminal Velocity

Physical

Exercise 37, page 111 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Predator-Prey Model

Limits at Infinity; Horizontal Asymptote

Biological

Adapted from Problem 15, page 130 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Prentice Hall, 2011.”

Population Size

Limits at Infinity;

Biological; Mathematical

Problem 11, page 130 found in C. Neuhauser, Calculus for Biology and Medicine, Third edition, Pearson 2011.

Reaction Rates of Enzymes and Substrates

Limits at Infinity; Evaluating Limits

Physical

Problem 33, page 99 found in “J. Rogawski, C. Adams. Calculus Early Transcendentals, 3rd edition, Macmillin, 2015.”

Crude Oil Prices Average Rate of Change; Business Applications Social Sciences

Problem 43, page 252 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Metabolizing Acetaminophen Average and Instantaneous Rates of Change; Difference Quotient; Definition of the Derivative Biological

Problem 1.2.5, page 25 found in “G. Ledder. Mathematics for the Life Sciences: Calculus, Modeling, Probability, and Dynamical Systems, 1st edition, Springer, New York, 2013.”

Drop The Tool

Limits; Position & Velocity Functions; Instantaneous Velocity

Physical

Problems 103 and 104, page 69 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Logistic Growth Rate of Change; Carrying Capacity; Population Growth & Equilibrium Biological Neuhauser, Calculus for Biology and Medicine, 3rd edition, Pearson Education, 2011 Problem 49, page 145
Biotic Diversity Application of Derivatives; Rates of Change; Ecosystem Equilibrium Biological

Problem 50, page 145 found in Claudia Neuhauser. Calculus for Biology and Medicine, Third Edition, Pearson, 2011.

Highway Design Derivative as Slope of a Tangent Line; Quadratic Function Physical

Exercise 64, page 171 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Lizard Energy Expenditure Applications of Derivatives; Differentiation Rules Biological; Physical

Problem 47, page 595 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, 2015 Cengage Learning.”

Body Surface Area Rates of Change; Interpretation of the Derivative Biological

Problem 35, page 149 found in “J. Rogawski, C. Adams. Calculus Early Transcendentals, 3rd edition, Macmillin, 2015.”

T-Shirts for Sale Rates of Change; Derivative; Revenue Function; Business Applications Social Sciences

Problem 81, page 340 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”

Water Snakes Derivatives as Rates of Change; Interpreting Derivative Biological

Problem 49, page 183 found in R.N. Greenwell, N.P. Ritchey, M.L. Lial, Calculus for the Life Sciences, Pearson, 2nd edition.

Dead Sea Derivative and Instantaneous Rate of Change; Physical

Problem 72, page 213 found in “R.N. Greenwell, N.P. Ritchey, M.L. Lial, Calculus for the Life Sciences, 2nd edition, Pearson, 2015”.

Marginal Profit Derivative and Marginal Profit; Demand, Revenue, Cost, and Profit Functions; Business Applications Social Sciences

Problem 40ac, page 116 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Median Home Prices Average Vs Instantaneous Rate of Change; Derivatives; Business Applications Social Sciences

Problem 88, page 274 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”

Plaque in Arteries Derivative and Instantaneous Rate of Change; Biological

Problem 33, page 230 found in "S. Schreiber, K. Smith, and W. Getz. Calculus for the Life Sciences, 1st Edition, John Wiley & sons, 2014."

Biomass Product Rule; Derivative as Rate of Change; Fish Population Biological

Problem 56, page 202 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Inventory Replenishment Quotient Rule; Derivatives; Rate of Change; Cost Function; Marginal Cost; Business Applications Social Sciences

Problem 71, page 126 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Tip Speed Ratio Quotient Rule; Derivatives; Rate of Change Physical

Page 141 Problem 52 in “J. Rogawski and C. Adams. Calculus, 3rd edition, W. H. Freeman and Company, New York, 2015.”

Insecticide Resistance Quotient Rule; Derivatives; Rate of Change Biological

Problem 54, page 201 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Gas Consumption Product and Quotient Rules; Derivatives; Rate of Change Physical

Problem 59, page 141 found in “D. Hughes-Hallett; A. Gleason; W. McCallum. Calculus, Single & Multivariable, 6th Edition, Wiley & Sons, Inc.”

Body Mass Index Quotient Rule; Chain Rule; Derivative as Rate of Change Biological

Problem 67 and 68 pg 223, Calculus and its Applications by Goldstein, Lay, Asmar, Schneider. Ed 13 Pearson.

Nursing School Woes Differentiation; Proportionality; Derivative as Rate of Change Biological

Neuhauser, Calculus for Biology and Medicine, 3rd edition, Pearson Education, 2011 Problem 72, page 173

Sinus Pressure Chain Rule; Interpretation of the Derivative Biological Exercise 56, page 213 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”
Pollution Chain Rule; Interpretation of the Derivative Physical Greenwell, Ritchey, & Lial, Calculus for the Life Sciences (Second ed.) Problem 56, page 228
Wave Motion Chain Rule; Simple Harmonic Motion Physical

Exercise 114, page 139 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Circadian Growth Derivatives of Trigonometric Functions; Chain Rule; Bound of the Sine Function; Solving Inequalities Biological; Mathematical

Problem 74, page 188 found in C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018.

Big Fish Limits at Infinity; Exponential Growth; Von Bertalanffy Growth Model Biological

Neuhauser, Calculus for Biology and Medicine, 3rd edition, Pearson Education, 2011 Problem 65, page 182

It's How Old? Exponential Growth and Decay; Business Applications Social Sciences

Problem 81, page 283 found in “Larson. Calculus: An Applied Approach, 10th edition, Cengage Learning, Boston, 2017.”

Light Intensity in Water Exponential Growth and Decay; Differential Equations; Initial Value Problem Physical

Modified version of Example 5.5.6, page 256 found in “Calculus For the Life Sciences: A Modeling Approach” by James L. Cornette and Ralph A. Ackerman. Electronic version volume 1. https://open.umn.edu/opentextbooks/BookDetail.aspx?bookId=92

Radioactive Decay Exponential Growth and Decay; Derivative of Exponential Function; Half Life; Differential Equations Physical

Problem 72, page 183 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Pearson Education, Inc.”

Genetic Drift Derivatives of Logarithmic Functions; Chain Rule; Applications of Derivatives; Fruit Flies Biological

Problem 30, page 229 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, 2015 Cengage Learning.”

Travel Time Position, Velocity, and Acceleration Functions; Applications of Derivatives; Graphical Interpretations of Derivatives Physical

Problem 34, page 201 found in C. Neuhauser, Calculus for Biology and Medicine, Third edition, Pearson, 2011.

Biking Trip Position, Velocity, and Acceleration; First and Second Derivatives; Graphical Interpretation of the Derivative; Graphs of Trigonometric Functions Physical; Mathematical

Problem 33, page 201 found in C. Neuhauser, Calculus for Biology and Medicine, Third edition, Pearson 2011.

Predation Population Chain Rule; Implicit Differentiation Biological

Problem 56, page 1.6.2 found in “G. Ledder Mathematics for Life Sciences, 1st edition, Springer, New York, 2010.”

Cobb-Douglas Production Function Implicit Differentiation; Business Applications Social Sciences Problem 47, page 150 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.
Production Function Implicit Differentiation; Cobb-Douglas Production Function; Business Applications Social Sciences Problem 29, page 448 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.
Resource Allocation Implicit Differentiation; Related Rates; Business Applications Social Sciences Problem 27, page 448 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.
Check Out Those Books Implicit Differentiation Mathematical; Social Sciences Problem 48 pg 243, Calculus and its Applications by Goldstein, Lay, Asmar, Schneider. Ed 13 Pearson.
Energy Consumption Implicit Differentiation Biological Exercise 47, pg. 228 Adler, F. R. (1998). Modeling the dynamics of life: Calculus and probability for life scientists (3rd ed.). Pacific Grove, CA: Brooks/Cole.
The Blood is A Flowin' Implicit Differentiation Biological Thomas, Calculus, 11th edition, Pearson Education, 2005 Page 220, Problem 25
Bacteria Population Inverse Functions Biological

Problem 57, page 67 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, 2015 Cengage Learning.”

Velocity in a Resisting Medium L'Hopital's Rule Physical

Exercise 93, page 578 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Species Diversity L'Hopital's Rule; Limits; Continuity Biological

Problem 67, page 260 found in "C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018."

Bus Line Prices Optimization; Extrema in a Closed Interval; Demand Function and Maximum Revenue; Business Applications Mathematical; Social Sciences

Problem 11 pg 186. “Calculus and its Applications”. Goldstein, Lay, Schneider, Asmar. Ed 13 Pearson.

The Supermarket Struggle Optimization; Relative Extrema; Business Applications Social Sciences

Example 2 pg 173. “Calculus and its Applications”. Goldstein, Lay, Schneider, Asmar. Ed 13 Pearson.

Farming Strawberries Optimization; Relative Extrema; Business Applications Social Sciences

Problem 37, page 203 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Maximizing Apartment Profits Optimization; Relative Extrema; Business Applications Social Sciences

Problem 20, page 213 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

iPhone Average Cost Optimization; Minimum cost; Cost Function; Business Applications Social Sciences

Problem 13, page 409 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Optimal Speed Optimization; Minimum cost; Cost Function; Business Applications Social Sciences

Adapted from problem 46, page 234 found in “R. Larson, Calculus: An Applied Approach, tenth edition, Cengage Learning, 2017.”

Used Book Black Market Optimization; Revenue Function; Maximum Revenue; Business Applications Social Sciences

Problem 34, page 411 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”

Code That Software Optimization; Relative Extrema; Maximum Revenue; Business Applications Social Sciences

Problem 59, page 413 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”

Tracheal Tube When Coughing

Absolute Extrema on a Closed Interval

Biological

Problem 73 pg 279. “Calculus Early Transendentals”. James Stewart. Ed 6 Brooks/Cole, Cengage Learning.

National Security Optimization; Implicit Differentiation Physical; Mathematical Thomas, Calculus, 11th edition, Pearson Education, 2005 Problem 138, page 533
Max Area Optimization; First Derivative Test; Extrema Mathematical Problem 17, page 245 found in “J. Rogawski and C. Adams. Calculus, 3rd edition, W. H. Freeman and Company, New York, 2015.”
Nick of Time Optimization; First Derivative Test; Extrema Mathematical Adapted from problem 20, page 245 in Rogawski, Jon and Colin Adams, Calculus: Early Transcendentals; 3rd ed., W. H. Freeman, New York, 2015.
Pharmacokinetics L'Hopital's Rule; Limit at Infinity; First Derivative Test; Extrema; Maximum; Minimum Biological; Mathematical

Problem 54, page 284 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Epidemic Application of Extrema; Maxima and Minima; Increasing and Decreasing Functions Biological Problem 12, page 222 found in “J. Arya, R. Lardner. Mathematics for the Biological Sciences, Prentice Hall, New Jersey, 1979.”
Minimizing Energy Expenditure Optimization; First Derivative Test; Extrema Biological Problem 1.5.3, page 47 found in “G. Ledder. Mathematics for the Life Sciences: Calculus, Modeling, Probability, and Dynamical Systems, 1st edition, Springer, New York, 2013.”
Injection Model Derivatives in Modeling; Critical Points; Extrema Biological Problem 60, page 262 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus, 6th edition, John Wiley & Sons, Inc., 2013.”
The Speeding Ticket Mean Value Theorem Mathematical

Exercise 59, page 177 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Montana Weather Mean Value Theorem Mathematical

Problem 36, page 182 found in “E. Swokowski. Calculus, 5th Edition, Brooks/Cole, Cengage Learning, 1991.”

Average Velocity Mean Value Theorem; Velocity; Average Velocity Mathematical; Physical

Problem 32, page 322 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Prentice Hall, Pearson, 2011.”

The Calculus in Music

Increasing and Decreasing Functions; Rate of Change

Physical

Problem 28 pg. 232. “Calculus Early Transcendentals”. James Stewart. Ed 6 Brooks/Cole, Cengage Learning.

Worm Population Control Increasing and Decreasing Functions; First Derivative Test Biological

Adapted from: Problem 30 page 222 in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Pearson Education, Inc., Boston, MA, 2011.”

Hamburger Profit Increasing and Decreasing Functions; First Derivative Test; Maximum Profit; Business Applications Social Sciences

Problem 53, page 176 found in R. Larson. Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Fight The Powa Optimization; First Derivative Test; Extrema Physical

Small modification of problem 41, page 264 found in “J. Stewart. Calculus, 6th edition, Thomson Brooks/Cole, 2008.”

Graph Analysis Graph of the Derivative; Local Maximum and Minimum; Derivative of Increasing and Decreasing Functions Mathematical

Adapted from Exercise 21, page 176 found in “F. Adler. Modeling the Dynamics of Life: Calculus and Probability for Life Scientists, 3rd edition, Brooks/Cole, Cengage Learning, 2013.”

Tracking a Helicopter Graphical Behavior of Functions; Graph of the Derivative; Position, Velocity and Acceleration Functions Mathematical; Physical

Adapted from: Problem 28 page 177 in “J. Adler. Modeling the Dynamics of Life, 3rd edition, Brooks/Cole, Boston, MA, 2013.”

Spreading the Flu Part 1 Global Extrema; First Derivative Test; Graph of a Function; Limits at Infinity; L'Hopital's Rule Biological

Problem 43, page 402 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus: Single and Multivariable, 6th edition, John Wiley and Sons, Inc., MA, 2013.”

Monod Growth Increasing and Decreasing Functions; Limits to Infinity; Horizontal Asymptotes Biological

Adapted from Problem 7, page 274 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Prentice Hall, 2011.”

Nurse Shortage Relative Extrema; Increasing and Decreasing Functions; First Derivative Test Social Sciences

Problem 89, page 262 found in “Tan Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach, 9th edition, Brooks/Cole, CA, 2011.”

Vascular Branching Optimization; Critical Points; Extrema; Increasing and Decreasing Functions; Blood Flow; Poiseuille's Law Biological

Problem 55, page 247 found in “J. Rogawski, C. Adams. Calculus Early Transcendentals, 3rd edition, Macmillin, 2015.”

Snell's Law Optimization; Critical Points; Extrema; First Derivative Test; Velocity of light Physical

Problem 54, page 247 found in “J. Rogawski, C. Adams. Calculus Early Transcendentals, 3rd edition, Macmillin, 2015.”

Dose Response Point of Inflection; How Derivatives Affect Graphs Biological

Exercise 53, page 273 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

US Inflation Concavity; Rate of Change; Interpretation of a Graph; Business Applications; Social Sciences

Problem 65, page 427 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”

Alligator Teeth Point of Inflection; Concavity; Derivative of Exponential Function of Exponential Function; Multiple Chain Rule Biological

Problem 88, page 297 found in “R.N. Greenwell, N.P. Ritchey, M.L. Lial, Calculus for the Life Sciences, 2nd edition, Pearson, 2015”.

Drug Surge Point of Inflection; Exponential Derivatives; Biological

Stewart, Calculus, 6th edition, Thomson Brooks/Cole, 2008. Problem 71, page 404

Point of Diminishing Return Point of Inflection; Point of Diminishing Return; Second Derivative; Concavity; Business Application Social Sciences

Adapted from problem 89, page 279 found in “S. T. Tan, Applied Calculus for the Managerial, Life, and Social Sciences, eighth edition, Brooks/Cole, Cengage Learning, 2011.”

Coffee Consumption Extreme Values; Interpretation of the Second Derivative Mathematical; Social Sciences

Problem 30 pg 179. “Calculus and its Applications”. Goldstein, Lay, Schneider, Asmar. Ed 13 Pearson.

Gompertz? Gompertz Who? Derivatives and Growth Functions; Derivative of Exponential Functions; Critical Points; Second Derivative; Inflection Points Biological

Problem 56, page 223 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus, 6th edition, John Wiley & Sons, Inc., 2013.”

Per Capita Production Extrema and the Second Derivative Test; Critical Points; Concavity Social Sciences

Problem 16, page 342 found in F. Adler. Modeling the Dynamics of Life, 3rd edition, Brooks/Cole, Cengage Learning, Boston, 2013.

Allometric Growth Implicit Differentiation and Concavity; Second Derivative Test; inflection point Biological

Problem 43, page 224 found in Nuehauser, C., Calculus for Biology and Medicine, 3rd edition, Pearson, 2013.

Factoid Machine Curve Sketching; Critical Points; First Derivative Test; Second Derivative Test; Inflection Points; Concavity Mathematical

Problem 29, page 239 found in “F. Adler. Modeling the Dynamics of Life, 3rd edition, Brooks/Cole, Cengage Learning, Boston, 2013.”

Related Rates on a Cube Related Rates; Geometrical Interpretation of dV/dx on a Cube Mathematical Problem 11, page 180 found in “J. Stewart. Calculus, 6th edition, Thomson Brooks/Cole, 2008.”
Oil Revenue Related Rates; Business Applications Social Sciences Problem 25, page 447 found in “Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.”
Adiabatic Air Expansion Related Rates; Implicit Differentiation Physical Exercise 88, page 214 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”
Pulling Boats Related Rates; Implicit Differentiation Physical Adapted from a problem in: Stewart, J. (2003). Calculus: Early transcendentals. Belmont, CA: Thomson/Brooks/Cole.
Fish Growth Related Rates; Implicit Differentiation; Von Bertalanffy Growth Function Biological Exercise 90, page 215 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”
Unclogging an Artery Differentials; Relative Change Biological Thomas, Calculus, 11th edition, Pearson Education, 2005 Pg 230 Example 8
Measuring Disks Differentials; Continuous Functions; Mathematical Problem 30, page 167 found in “F. Adler Modeling the Dynamics of Life: Calculus and Probability for Life Scientists. Third Edition. Brooks/Cole, Cengage Learning. 2013.” Pre-requisite in calculus:
Springing Survival Newton's Method Biological Exercise 55, page 215 found in “R. Smith, R. Minton. Calculus, Third Edition, McGraw-Hill, 2008.”
Restate and Integrate Integrals of Exponential Functions; Initial Value Problem Mathematical The Calculus Problem Solver by Dr. H.Weisbecker et al. 1984 Pg 461 #652.
Medicate Me Exponential Growth and Decay; Half Life; Initial Value Problem Biological Adapted from Example 1, page 197 found in Greenwell, R., & Ritchey, N. (n.d.). Calculus for the life sciences (Second ed.).
Stone Acceleration Antiderivatives; Initial Value Problem; Position, Velocity and Acceleration Physical Exercise 44, page 311 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”
Does She Hit the Cow? Initial-Value Problem; Antiderivative; Indefinite Integral; Position, Velocity and Acceleration Physical Problem 53, page 357 found in "S. Schreiber, K. Smith, and W. Getz. Calculus for the Life Sciences, 1st Edition, John Wiley & sons, 2014."
Population Dynamics Initial-Value Problem; Antiderivative; Indefinite Integral; Fundamental Theorem of Calculus Physical Problem 10, page 275 found in C. Neuhauser, Calculus for Biology and Medicine, Third edition, Pearson 2011.
Uploads to YouTube Initial-Value Problem; Antiderivative; Indefinite Integral; Business Applications Social Sciences Problem 52, page 483 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.
DirecTV Revenue Initial-Value Problem; Antiderivative; Indefinite Integral; Business Applications Social Sciences Problem 56, page 337 found in “R. Larson. Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.”
Length of a Fish Average Value of a Function and Initial-Value Problem; Antiderivative; Indefinite Integral; Fundamental Theorem of Calculus Biological Problem 18, page 400 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, 2015 Cengage Learning.”
Paying Down a Mortgage Definite Integral; Business Applications Social Sciences Problem 40 pg 337, Calculus and its Applications by Goldstein, Lay, Asmar, Schneider. Ed 13 Pearson.
iPhone Profit Definite Integral; Business Applications Social Sciences Problem 59, page 525 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.
Polluted Lake Definite Integral Physical Problem 63, page 408 found in “R.N. Greenwell, N.P. Ritchey, M.L. Lial, Calculus for the Life Sciences, 2nd edition, Pearson, 2015”.
Stream of Trout Definite Integral; Integral of an Absolute Value Function  Biological

Exercise 9, page 418 found in “F. Adler. Modeling the Dynamics of Life: Calculus and Probability for Life Scientists, 3rd edition, Brooks/Cole, Cengage Learning, 2013.”

Total Distance Traveled Definite Integral; Integral of an Absolute Value Function Physical Problem 46 pg 360, Calculus and its Applications by Goldstein, Lay, Asmar, Schneider. Ed 13 Pearson.
Pool Pump Definite Integral; Work Done by a Variable Force Physical Problem 20, page 373 found in “J. Stewart. Calculus, 6th edition, Thomson Brooks/Cole,2008.”
Beehavior Riemann Sum Mathematical Adapted from exercise 33, page 387, found in “F. Adler. Modeling the Dynamics of Life: Calculus and Probability for Life Scientists, 3rd edition, Brooks/Cole, Cengage Learning, 2013.”
Cardiac Output Formula Riemann Sum; Deriving an Integral Formula Biological; Mathematical Adapted from page 403 in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”
Plant Density Application of Definite Integrals; Riemann Sum; Population Density; Integrating over an Annulus Biological; Mathematical Problem 1.7.7, page 66 found in “G. Ledder. Mathematics for the Life Sciences, 1st edition, Springer, New York, 2010.”
Integrate These Cookies Definite Integral; Average Value Theorem Physical; Mathematical R. Larson, R. Hostetler, B. Edwards, Calculus: with analytic geometry, 6th edition, Houghton Mifflin Company, 1998 Problem 61, page 284
Rainfall Mean Value Theorem; Average Value Theorem; Definite Integral Physical; Mathematical Problem 21, page 350, found in "C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018."
Average Balance Average Value of a Function; Definite Integral; Piecewise-Defined Function; Business Application Social Sciences Problem 44, page 566 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.
Animal Survival Definite Integral; Survival Rate; Population Growth Biological Problem 1, page 404 found in “J. Stewart, T. Day, Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015."
How to Manage Equipment Effectively Fundamental Theorem of Calculus; Depreciation and Business Applications Mathematical; Social Sciences Stewart Calculus, 6th edition, Thomson Brooks/Cole, 2008. Problem 67, page 323
Particle Motion Fundamental Theorem of Calculus; Definite Integral; Bounds; Position; Velocity; Acceleration Physical; Mathematical

Problem 23, page 179 found in “D. Hughes-Hallett; A. Gleason; W. McCallum, Calculus, Single & Multivariable, 6th edition, Wiley & Sons, Inc.”

Sludge in a Lake Integrating Rates of Change; Definite Integral; Units Physical

Problem 19, page 295 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus, 6th edition, John Wiley & Sons, Inc., 2013.”

Population Growth Integration by Substitution; Exponential Antiderivatives  Biological

Greenwell, Ritchey, & Lial, Calculus for the Life Sciences (Second ed.) Problem 62, page 384

Valuing Lottery Winnings Future Value; Annuity; Definite Integral; Integration by Substitution; Integral of Exponential Functions; Business Applications Social Sciences

Problem 74, page 385 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Saving for College Future Value; Annuity; Continuous Income Stream; Definite Integral; Integral of Exponential Functions; Business Applications Social Sciences

Problem 48, page 578 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

Stock Exchange Integration by Substitution; Average Value Mathematical; Social Sciences

Greenwell, Ritchey, & Lial, Calculus for the Life Sciences (Second ed.) Problem 45, page 452

Oil Leak Fundamental Theorem of Calculus; Integration by Substitution Physical

Problem 64, page 408 found in Greenwell, R., & Ritchey, N. (n.d.). Calculus for the life Sciences (Second ed.)

Crime Scene Exponential Growth and Decay; Newton's Law of Cooling; Initial Value Problem
(17 minutes)
Biological; Physical Adapted from Exponential Growth and Decay. (n.d.). Retrieved January 12, 2016, from http://www.chaoticgolf.com/
Revenue for Calculators Integration by Parts; Business Applications Mathematical; Social Sciences

Greenwell, Ritchey, & Lial, Calculus for the Life Sciences (Second ed.) Problem 56, page 445

City Size Integration by Parts Social Sciences

Robert Willett, UC Riverside.

Rumen Micorbial Ecosystem Integration by Parts Biological

Exercise 34, page 367 found in “J. Stewart and T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, 2015.”

Lightbulb Energy Trigonometric Integral; Definite Integral; Energy; Power; Voltage; Resistance Physical

Problem 76, page 386 found in “J. Rogawski, C. Adams. Calculus: Early Transcendentals, 3rd Edition, W. H. Freeman and Company, Macmillan, 2015.”

Electric Field from a Charged Wire Integration by Trigonometric Substitution Physical

Adapted from Problem 55, page 392 found in “J. Rogawski, C. Adams. Calculus Early Transcendentals, 3rd edition, Macmillin, 2015.”

Curbing the Mosquito Population Integration by Partial Fraction Decomposition Biological

Adapted from: Problem 24, page 371 found in “J. Stewart, T. Day. Biocalculus: Calculus for the Life Sciences, Cengage Learning, Boston, 2015.”

Chemical Reactions Integration by Partial Fraction Decomposition Physical

Adapted from exercise 50, page 580 found in “Thomas’ Calculus, 11th edition, Pearson Addison Wesley, 2004.”

Rumor in School Integration by Partial Fraction Decomposition; Definite Integral Mathematical; Social Sciences

Problem 78, page 386 found in “D. Hughes-Hallett; A. Gleason; W. McCallum. Calculus, Single & Multivariable, 6th Edition, Wiley & Sons, Inc.”

Telephone Line Derivative of Hyperbolic Functions Physical

Problem 51, page 260 found in “J. Stewart. Calculus: Early Transcendentals, 6th Edition, Thomson Learning Inc, 2008.”

Hanging a Cable Integral of Hyperbolic Functions; Arc Length of a Catenary Physical

Adapted from Problem 64, page 323 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Prentice Hall, 2011.”

Into Orbit

Improper Integral; Work

Physical

Problems 85, page 589 found in “R. Larson and B. Edwards. Calculus, 9th edition, Brooks/Cole, Cengage Learning, 2010.”

Spreading the Flu Part 2

Improper Integral; Integration by parts

Biological

Problem 43, page 402 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus: Single and Multivariable, 6th edition, John Wiley and Sons, Inc., MA, 2013.”

Drug Reaction

Improper Integral; Integration by parts

Biological

Problem 44, page 457 found in R.N. Greenwell, N.P. Ritchey, M.L. Lial, Calculus for the Life Sciences, Pearson, 2nd edition.

Capacity of a Capacitor

Improper Integral;

Physical

Adapted from problem 83, page 423 in Rogawski, Jon and Colin Adams, Calculus: Early Transcendentals; 3rd ed., W. H. Freeman, New York, 2015.

Planck's Radiation Law

Improper Integrals and the Comparison Test; Limits; Convergence; Divergence

Physical; Mathematical

Adapted from: Problem 30, page 407 found in “Hughes-Hallett, Gleason, McCallum, et al. Calculus, 6th edition, John Wiley & Sons, Inc., 2013.”

Cellular Response

Improper Integrals and the Comparison Test; Convergence; Divergence

Biological; Mathematical

Problem 47, page 398 found in "C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018."

Consumer and Producer Surpluses Area Between Two Curves; Applications of Definite Integrals; Business Applications Social Sciences

Problem 57, page 359 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.

Savings

Area Between Curves; Marginal Costs and Savings

Mathematical; Social Sciences

Problem 37, page 418 found in Greenwell, R., & Ritchey, N. (n.d.). Calculus for the Life Sciences (Second ed.).

Y Area Between Curves Area Between Curves; Integral of x = f(y) Mathematical Thomas, Calculus, 11th edition, Pearson Education, 2005 Page 416, Problem 35
Area of a Circular Sector Area Under a Curve; Integration by Trigonometric Substitution Mathematical Problem 35 page 509 in “J. Stewart. Single Variable Calculus, 6th edition, Thompson Brooks/Cole, Belmont, CA, 2008.”
Solar Eclipse Area between curves; Area of a Lune Physical; Mathematical Problem 41, page 509 found in “J. Stewart. Single Variable Calculus, 6th edition, Thompson Brooks/Cole, Belmont, 2008.”
Lake Mead Volume by Cross Section; Volume by Slicing; Definite Integral Physical; Mathematical Problem 36, page 421 found in “D. Hughes-Hallett; A. Gleason; W. McCallum. Calculus, Single & Multivariable, 6th edition, Wiley & Sons, Inc., 2013”
A Baseball in the Punchbowl Volume by Cross-Sectional Area Physical Problem 68, page 364 found in “J. Stewart. Calculus, 6th edition, Brooks/Cole, Belmont, CA, 2008.”
Bowl of Water Volumes of Revolution; Disc Method; Fundamental Theorem of Calculus; Chain Rule Physical Problem 59, page 430 found in “D. Hughes-Hallett; A. Gleason; W. McCallum. Calculus, Single & Multivariable, 6th Edition, Wiley & Sons, Inc.”
Toast of the Town Volumes of Revolution; Washer Method Physical; Mathematical John Simanyi, UC Riverside.
Draining a Radio Telescope Volume by Shell Method; Cylinders of Revolution Physical John Simanyi, U C Riverside.
Napkin Rings Volume by Cylindrical Shells Physical Problem 46, page 437 found in “J. Stewart. Calculus: Early Transcendentals, 6th Edition, Thomson Learning Inc, 2008.”
Area of a Satellite Dish Surface Area of a Solid of Revolution Mathematical; Physical Problem 28 page 574 in “J. Stewart. Single Variable Calculus, 6th edition, Thompson Brooks/Cole, Belmont, CA, 2008.”
World's Largest Doughnut Surface Area of a Torus; Integration by Trigonometric Substitution Mathematical; Physical Robert Willett, UC Riverside.
Determining Length of Fish Separable Differential Equation; Von Bertalanffy Equation; Asymptotic Length; Limit at Infinity Biological Problem 23, page 404 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Pearson Education, Inc.”
Fish Population Separable Differential Equation; Equilibrium; Stability; Logistic Growth; Fish Population Biological Problem 9, page 418 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Pearson Education, Inc.”
Insulin Pump Separable Differential Equation; Integration by Substitution; Initial Condition; Limit at Infinity Biological Problem 26, page 439 found in C. Neuhauser and M. Roper. Calculus for Biology and Medicine, 4th Edition, Prentice Hall, Pearson, 2018.
Allee Effect Equilibrium and Stability; Eigenvalue Method; Graphical Method; Differential Equations Biological Problem 24, page 420 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Prentice Hall, Pearson, 2011.”
Single Compartment Model Single Compartment Model; Separable Differential Equations; Equilibrium; Stability; Change in Concentration Physical Problem 13, page 419 found in “C. Neuhauser. Calculus for Biology and Medicine, 3rd edition, Pearson Education, Inc.”
Marginal Utility Partial Derivatives; Marginal Utility; Business Application Social Sciences Problem 73, page 454 found in R. Larson, Calculus: An Applied Approach, 10th edition, Cengage Learning, 2017.
Fences Lagrange Multiplier; Partial Derivatives; Business Application Social Sciences Problem 21, page 653 found in Waner and Costenoble. Applied Calculus, 7th Edition, Cengage Learning, Boston, 2016.

 

 

 

 

 

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