Applied Calculus Solutions

Applied Calculus I

MTH 261-005N

Annandale Campus

Northern Virginia Community College

Dr. Don Goral

Applied Calculus Solutions

These solutions were created by Donald R. Goral from exercises in Applied Calculus, Edition 1

by Shana Calaway, Dale Hoffman, David Lippman

This text is licensed under a Creative Commons Attribution 3.0 United States License.

I created solutions to most of the odd numbered exercises and a few even numbered exercises in the sections of Applied Calculus that are covered in MTH 261. There is one PDF file for each section.

Please attempt each exercise on your own before checking my solutions.

Chapter 1: Review

Section 1: Functions

Section 2: Operations on Functions

Section 3: Linear Functions

Section 4: Exponents

Section 5: Quadratics

Section 6: Polynomials and Rational Functions

Section 7: Exponential Functions

Section 8: Logarithmic Functions

Chapter 2: The Derivative
Precalculus Idea: Slope and Rate of Change

Section 1: Limits and Continuity

Section 2: The Derivative

Section 3: Power and Sum Rules for Derivatives

Section 4: Product and Quotient Rules

Section 5: Chain Rule

Section 6: Second Derivative and Concavity

Section 7: Optimization

Section 8: Curve Sketching

Section 9: Applied Optimization

Section 10: Other Applications

Section 11: Implicit Differentiation and Related Rates

Chapter 3: The Integral

PreCalculus Idea – The Area of a Rectangle

Section 1: The Definite Integral

Section 2: The Fundamental Theorem and Antidifferentiation

Section 3: Antiderivatives of Formulas

Section 4: Substitution

Section 6: Area, Volume, and Average Value (Area only)

Section 7: Applications to Business

Page revised 05/28/21

Contact Dr. Goral at dgoral@nvcc.edu