APEX List of PROTEUS exercises

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Appendix A List of PROTEUS exercises

1.1 An Introduction To Limits

Exercise 1.1.5 PROTEUS EXERCISE

Exercise 1.1.9 PROTEUS EXERCISE

Exercise 1.1.27 PROTEUS EXERCISE

Exercise 1.1.33 PROTEUS EXERCISE

1.2 Epsilon-Delta Definition of a Limit

Exercise 1.2.2 PROTEUS EXERCISE

Exercise 1.2.4 PROTEUS EXERCISE

Exercise 1.2.11 PROTEUS EXERCISE

Exercise 1.2.13 PROTEUS EXERCISE

1.3 Finding Limits Analytically

Exercise 1.3.2 PROTEUS EXERCISE

Exercise 1.3.6 PROTEUS EXERCISE

Exercise 1.3.9 PROTEUS EXERCISE

Exercise 1.3.21 PROTEUS EXERCISE

Exercise 1.3.27 PROTEUS EXERCISE

1.4 One-Sided Limits

Exercise 1.4.2 PROTEUS EXERCISE

Exercise 1.4.4 PROTEUS EXERCISE

Exercise 1.4.5 PROTEUS EXERCISE

Exercise 1.4.9 PROTEUS EXERCISE

1.5 Continuity

Exercise 1.5.3 PROTEUS EXERCISE

Exercise 1.5.8 PROTEUS EXERCISE

Exercise 1.5.15 PROTEUS EXERCISE

Exercise 1.5.21 PROTEUS EXERCISE

1.6 Limits Involving Infinity

Exercise 1.6.3 PROTEUS EXERCISE

Exercise 1.6.10 PROTEUS EXERCISE

Exercise 1.6.27 PROTEUS EXERCISE

2.1 Instantaneous Rates of Change: The Derivative

Exercise 2.1.3 PROTEUS EXERCISE

Exercise 2.1.13 PROTEUS EXERCISE

Exercise 2.1.22 PROTEUS EXERCISE

Exercise 2.1.27 PROTEUS EXERCISE

2.2 Interpretations of the Derivative

Exercise 2.2.1 PROTEUS EXERCISE

Exercise 2.2.4 PROTEUS EXERCISE

Exercise 2.2.5 PROTEUS EXERCISE

2.3 Basic Differentiation Rules

Exercise 2.3.2 PROTEUS EXERCISE

Exercise 2.3.8 PROTEUS EXERCISE

Exercise 2.3.9 PROTEUS EXERCISE

2.4 The Product and Quotient Rules

Exercise 2.4.6 PROTEUS EXERCISE: Product Rule Match

Exercise 2.4.15 PROTEUS EXERCISE

2.5 The Chain Rule

Exercise 2.5.6 PROTEUS EXERCISE

Exercise 2.5.7 PROTEUS EXERCISE

Exercise 2.5.8 PROTEUS EXERCISE

Exercise 2.5.9 PROTEUS EXERCISE: What’s Missing in the Chain Rule?

2.6 Implicit Differentiation

Exercise 2.6.4 PROTEUS EXERCISE

Exercise 2.6.5 PROTEUS EXERCISE: Match the Reason to the Step

2.7 Derivatives of Inverse Functions

Exercise 2.7.6 PROTEUS EXERCISE

Exercise 2.7.9 PROTEUS EXERCISE

3.1 Extreme Values

Exercise 3.1.6 PROTEUS EXERCISE

Exercise 3.1.15 PROTEUS EXERCISE

Exercise 3.1.19 PROTEUS EXERCISE

3.2 The Mean Value Theorem

Exercise 3.2.5 PROTEUS EXERCISE

3.3 Increasing and Decreasing Functions

Exercise 3.3.3 PROTEUS EXERCISE

3.4 Concavity and the Second Derivative

Exercise 3.4.4 PROTEUS EXERCISE

Exercise 3.4.16 PROTEUS EXERCISE

3.5 Curve Sketching

Exercise 3.5.1 PROTEUS EXERCISE

4.1 Newton’s Method

Exercise 4.1.2 PROTEUS EXERCISE

Exercise 4.1.8 PROTEUS EXERCISE

Exercise 4.1.11 PROTEUS EXERCISE

4.2 Related Rates

Exercise 4.2.6 PROTEUS EXERCISE: Converting Words Into Math

Exercise 4.2.7 PROTEUS EXERCISE

Exercise 4.2.12 PROTEUS EXERCISE

Exercise 4.2.13 PROTEUS EXERCISE

4.3 Optimization

Exercise 4.3.5 PROTEUS EXERCISE: Identifying Key Ideas

Exercise 4.3.8 PROTEUS EXERCISE

Exercise 4.3.12 PROTEUS EXERCISE

4.4 Differentials

Exercise 4.4.3 PROTEUS EXERCISE

Exercise 4.4.4 PROTEUS EXERCISE

Exercise 4.4.7 PROTEUS EXERCISE

Exercise 4.4.10 PROTEUS EXERCISE

Exercise 4.4.14 PROTEUS EXERCISE

5.1 Antiderivatives and Indefinite Integration

Exercise 5.1.3 PROTEUS EXERCISE

Exercise 5.1.10 PROTEUS EXERCISE

5.2 The Definite Integral

Exercise 5.2.12 PROTEUS EXERCISE

5.3 Riemann Sums

Exercise 5.3.7 PROTEUS EXERCISE

5.4 The Fundamental Theorem of Calculus

Exercise 5.4.10 PROTEUS EXERCISE

Exercise 5.4.12 PROTEUS EXERCISE

Exercise 5.4.13 PROTEUS EXERCISE: What is so important about area under a curve?

Exercise 5.4.26 PROTEUS EXERCISE

6.1 Substitution

Exercise 6.1.3 PROTEUS EXERCISE

Exercise 6.1.9 PROTEUS EXERCISE

Exercise 6.1.28 PROTEUS EXERCISE

6.2 Integration by Parts

Exercise 6.2.3 PROTEUS EXERCISE

Exercise 6.2.6 PROTEUS EXERCISE

Exercise 6.2.18 PROTEUS EXERCISE

6.3 Trigonometric Integrals

Exercise 6.3.7 PROTEUS EXERCISE

Exercise 6.3.8 PROTEUS EXERCISE

Exercise 6.3.17 PROTEUS EXERCISE

6.4 Trigonometric Substitution

Exercise 6.4.7 PROTEUS EXERCISE

Exercise 6.4.13 PROTEUS EXERCISE

6.5 Partial Fraction Decomposition

Exercise 6.5.5 PROTEUS EXERCISE

Exercise 6.5.11 PROTEUS EXERCISE

6.6 Hyperbolic Functions

Exercise 6.6.12 PROTEUS EXERCISE

6.7 L’Hospital’s Rule

Exercise 6.7.6 PROTEUS EXERCISE

Exercise 6.7.11 PROTEUS EXERCISE

6.8 Improper Integration

Exercise 6.8.15 PROTEUS EXERCISE

Exercise 6.8.26 PROTEUS EXERCISE

7.1 Area Between Curves

Exercise 7.1.4 PROTEUS EXERCISE

Exercise 7.1.12 PROTEUS EXERCISE

7.2 Volume by Cross-Sectional Area; Disk and Washer Methods

Exercise 7.2.8 PROTEUS EXERCISE

Exercise 7.2.11 PROTEUS EXERCISE

Exercise 7.2.12 PROTEUS EXERCISE

Exercise 7.2.13 PROTEUS EXERCISE

Exercise 7.2.14 PROTEUS EXERCISE

Exercise 7.2.17 PROTEUS EXERCISE

Exercise 7.2.23 PROTEUS EXERCISE

7.3 The Shell Method

Exercise 7.3.14 PROTEUS EXERCISE

Exercise 7.3.15 PROTEUS EXERCISE

Exercise 7.3.16 PROTEUS EXERCISE

Exercise 7.3.17 PROTEUS EXERCISE

Exercise 7.3.18 PROTEUS EXERCISE

7.4 Arc Length and Surface Area

Exercise 7.4.9 PROTEUS EXERCISE

Exercise 7.4.15 PROTEUS EXERCISE

8.1 Graphical and Numerical Solutions to Differential Equations

Exercise 8.1.4 PROTEUS EXERCISE

Exercise 8.1.5 PROTEUS EXERCISE

Exercise 8.1.10 PROTEUS EXERCISE

Exercise 8.1.18 PROTEUS EXERCISE

Exercise 8.1.24 PROTEUS EXERCISE

8.2 Separable Differential Equations

Exercise 8.2.5 PROTEUS EXERCISE

Exercise 8.2.7 PROTEUS EXERCISE

Exercise 8.2.10 PROTEUS EXERCISE

8.3 First Order Linear Differential Equations

Exercise 8.3.4 PROTEUS EXERCISE

Exercise 8.3.8 PROTEUS EXERCISE

9.1 Sequences

Exercise 9.1.4 PROTEUS EXERCISE

Exercise 9.1.19 PROTEUS EXERCISE

Exercise 9.1.30 PROTEUS EXERCISE

Exercise 9.1.31 PROTEUS EXERCISE

9.2 Infinite Series

Exercise 9.2.5 PROTEUS EXERCISE

Exercise 9.2.9 PROTEUS EXERCISE

Exercise 9.2.17 PROTEUS EXERCISE

9.3 Integral and Comparison Tests

Exercise 9.3.6 PROTEUS EXERCISE

Exercise 9.3.12 PROTEUS EXERCISE

Exercise 9.3.18 PROTEUS EXERCISE

9.4 Ratio and Root Tests

Exercise 9.4.4 PROTEUS EXERCISE

Exercise 9.4.9 PROTEUS EXERCISE

Exercise 9.4.10 PROTEUS EXERCISE

9.5 Alternating Series and Absolute Convergence

Exercise 9.5.4 PROTEUS EXERCISE

Exercise 9.5.5 PROTEUS EXERCISE

Exercise 9.5.6 PROTEUS EXERCISE

Exercise 9.5.14 PROTEUS EXERCISE

9.6 Power Series

Exercise 9.6.8 PROTEUS EXERCISE

Exercise 9.6.10 PROTEUS EXERCISE

9.7 Taylor Polynomials

Exercise 9.7.4 PROTEUS EXERCISE

Exercise 9.7.10 PROTEUS EXERCISE

Exercise 9.7.14 PROTEUS EXERCISE

Exercise 9.7.25 PROTEUS EXERCISE

9.8 Taylor Series

Exercise 9.8.13 PROTEUS EXERCISE

Exercise 9.8.17 PROTEUS EXERCISE

10.2 Parametric Equations

Exercise 10.2.9 PROTEUS EXERCISE

Exercise 10.2.10 PROTEUS EXERCISE

Exercise 10.2.15 PROTEUS EXERCISE

Exercise 10.2.23 PROTEUS EXERCISE

Exercise 10.2.24 PROTEUS EXERCISE

10.3 Calculus and Parametric Equations

Exercise 10.3.4 PROTEUS EXERCISE

Exercise 10.3.11 PROTEUS EXERCISE

Exercise 10.3.12 PROTEUS EXERCISE

Exercise 10.3.19 PROTEUS EXERCISE

Exercise 10.3.25 PROTEUS EXERCISE

Exercise 10.3.26 PROTEUS EXERCISE