Exercises

Exercises for 1.1 Modeling Discrete Data

Exercises for 1.2 Lines in the Plane

Exercises for 1.3 Functions and their Graphs

Exercises for 1.4 Defining New Functions from Old

Exercises for 1.5 Trigonometric Functions

Exercises for 1.6 Exponential and Logarithmic Functions

Exercises for 1.7 Case Study: Modeling with Elementary Functions

Exercises for 2.1 Modeling Rates of Change

Exercises for 2.2 The Legacy of Galileo, Newton, and Leibniz

Exercises for 2.3 Limits of Functions

Exercises for 2.4 Limits at Infinity and Infinite Limits

Exercises for 2.5 Continuity

Exercises for 2.6 Tangent Lines and Their Slopes

Exercises for 2.7 The Derivative

Exercises for 2.8 Differentiation Rule

Exercises for 2.9 Derivatives of the Trigonometric Functions

Exercises for 2.10 The Mean Value Theorem

Exercises for 2.11 Implicit Differentiation

Exercises for 2.12 Derivatives of Exponential and Logarithm Functions

Exercises for 2.13 Newton’s Method

Exercises for 2.14 Linear Approximations

Exercises for 2.15 Antiderivatives and Initial Value Problems

Exercises for 2.16 Velocity and Acceleration

Exercises for 2.17 Related Rates

Exercises for 2.18 Case Study: Torricelli’s Law

Exercises for 3.1 Modeling with Differential Equations

Exercises for 3.2 Exponential Growth and Decay

Exercises for 3.3 Separable Differential Equations

Exercises for 3.4 Slope Fields and Euler’s Method

Exercises for 3.5 Issues in Curve Sketching

Exercises for 3.6 Optimization

Exercises for 3.7 Case Study: Population Modeling

Exercises for 4.1 Modeling Accumulations

Exercises for 4.2 The Definite Integral

Exercises for 4.3 Properties of the Definite Integral

Exercises for 4.4 The Fundamental Theorem of Calculus

Exercises for 4.5 Techniques of Integration

Exercises for 4.6 Trapezoid Rule

Exercises for 4.7 Areas Between Curves

Exercises for 4.8 Volumes of Solids of Revolution

Exercises for 4.9 Arc Length

Exercises for 4.10 Inverse Trigonometric Functions

Exercises for 4.11 Case Study: Flood Watch

Exercises for 5.1 Case Study: Sleuthing Galileo

Index Page