SOLUTIONS
Calculus for the Life Sciences, 2nd edition
Author (s): Raymond N. Greenwell, Nathan P. Ritchey, Margaret L. Lial
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, CHAPTER 9 MULTIVARIABLE CALCULUS
9.1 Functions of Several Variables.................................................................................................... 547
9.2 Partial Derivatives ...................................................................................................................... 555
9.3 Maxima and Minima.................................................................................................................... 571
9.4 Total Differentials and Approximations ...................................................................................... 580
9.5 Double Integrals .......................................................................................................................... 589
Chapter 9 Review Exercises .................................................................................................................. 600
Extended Application: Optimization for a Predator .............................................................................. 612
CHAPTER 10 MATRICES
10.1 Solution of Linear Systems.......................................................................................................... 614
10.2 Addition and Subtraction of Matrices.......................................................................................... 638
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10.3 Multiplication of Matrices ........................................................................................................... 645
10.4 Matrix Inverses ............................................................................................................................ 654
10.5 Eigenvalues and Eigenvectors ..................................................................................................... 675
Chapter 10 Review Exercises ............................................................................................................... 687
Extended Application: Contagion.......................................................................................................... 704
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CHAPTER 11 DIFFERENTIAL EQUATIONS
AM
11.1 Solutions of Elementary and Separable Differential Equations .................................................. 705
11.2 Linear First-Order Differential Equations ................................................................................... 717
11.3 Euler’s Method ............................................................................................................................ 725
11.4 Linear Systems of Differential Equations.................................................................................... 733
11.5 Nonlinear Systems of Differential Equations .............................................................................. 744
SH
11.6 Applications of Differential Equations ........................................................................................ 753
Chapter 11 Review Exercises ............................................................................................................... 759
Extended Application: Pollution of the Great Lakes ............................................................................. 772
CHAPTER 12 PROBABILITY
UB
12.1 Sets............................................................................................................................................... 774
12.2 Introduction to Probability........................................................................................................... 787
12.3 Conditional Probability; Independent Events; Bayes’ Theorem ................................................. 799
12.4 Discrete Random Variables; Applications to Decision Making .................................................. 815
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Chapter 12 Review Exercises ................................................................................................................ 822
Extended Application: Medical Diagnonis ............................................................................................ 835
CHAPTER 13 PROBABILITY AND CALCULUS
13.1 Continuous Probability Models ................................................................................................... 837
13.2 Expected Value and Variance of Continuous Random Variables ............................................... 845
13.3 Special Probability Density Functions......................................................................................... 856
Chapter 13 Review Exercises ................................................................................................................ 865
Extended Application: Exponential Waiting Times .............................................................................. 875
Calculus for the Life Sciences, 2nd edition
Author (s): Raymond N. Greenwell, Nathan P. Ritchey, Margaret L. Lial
DR
E AM
SH
UB
??
, ??
UB
SH
EAM
DR
, ??
UB
SH
EAM
DR
, CHAPTER 9 MULTIVARIABLE CALCULUS
9.1 Functions of Several Variables.................................................................................................... 547
9.2 Partial Derivatives ...................................................................................................................... 555
9.3 Maxima and Minima.................................................................................................................... 571
9.4 Total Differentials and Approximations ...................................................................................... 580
9.5 Double Integrals .......................................................................................................................... 589
Chapter 9 Review Exercises .................................................................................................................. 600
Extended Application: Optimization for a Predator .............................................................................. 612
CHAPTER 10 MATRICES
10.1 Solution of Linear Systems.......................................................................................................... 614
10.2 Addition and Subtraction of Matrices.......................................................................................... 638
DR
10.3 Multiplication of Matrices ........................................................................................................... 645
10.4 Matrix Inverses ............................................................................................................................ 654
10.5 Eigenvalues and Eigenvectors ..................................................................................................... 675
Chapter 10 Review Exercises ............................................................................................................... 687
Extended Application: Contagion.......................................................................................................... 704
E
CHAPTER 11 DIFFERENTIAL EQUATIONS
AM
11.1 Solutions of Elementary and Separable Differential Equations .................................................. 705
11.2 Linear First-Order Differential Equations ................................................................................... 717
11.3 Euler’s Method ............................................................................................................................ 725
11.4 Linear Systems of Differential Equations.................................................................................... 733
11.5 Nonlinear Systems of Differential Equations .............................................................................. 744
SH
11.6 Applications of Differential Equations ........................................................................................ 753
Chapter 11 Review Exercises ............................................................................................................... 759
Extended Application: Pollution of the Great Lakes ............................................................................. 772
CHAPTER 12 PROBABILITY
UB
12.1 Sets............................................................................................................................................... 774
12.2 Introduction to Probability........................................................................................................... 787
12.3 Conditional Probability; Independent Events; Bayes’ Theorem ................................................. 799
12.4 Discrete Random Variables; Applications to Decision Making .................................................. 815
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Chapter 12 Review Exercises ................................................................................................................ 822
Extended Application: Medical Diagnonis ............................................................................................ 835
CHAPTER 13 PROBABILITY AND CALCULUS
13.1 Continuous Probability Models ................................................................................................... 837
13.2 Expected Value and Variance of Continuous Random Variables ............................................... 845
13.3 Special Probability Density Functions......................................................................................... 856
Chapter 13 Review Exercises ................................................................................................................ 865
Extended Application: Exponential Waiting Times .............................................................................. 875
