   Chapter 4.1, Problem 68E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) Use a graph to estimate the absolute maximum and minimum values of the function to two decimal places.(b) Use calculus to find the exact maximum and minimum values.f(x) = x − 2 cos x, −2 ≤ x ≤ 0

a)

To determine

To estimate: The absolute maximum and minimum values of the function f(x)=x2cosx,2x0 to two decimal places.

Explanation

Graph:

Use the graphing calculator to draw the graph of the function f(x)=x2cosx,2x0 as shown below in Figure 1.

From Figure 1, it is observed that f(2)f(x) for all values of x in the domain. Therefore, the absolute maximum value of f(x) occurs at x=2 and the value is 1.171

Also from Figure 1, it is observed that f(π6)f(x) for all values of x in the domain

(b)

To determine

To find: The exact maximum and minimum values of the given function f(x)=x2cosx,2x0 .

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 