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(A) Graph the function fx) = x-2 sinx in the viewing rectangle [0, 8] by [-2, 8]. (B) On which interval is the average rate of change larger: [1, 2] or [2, 3]? (C) At which value of x is the instantaneous rate of change larger: x = 2 or x = 5?

(A) Graph the function fx) = x-2 sinx in the viewing rectangle [0, 8] by [-2, 8]. (B) On which interval is the average rate of change larger: [1, 2] or [2, 3]? (C) At which value of x is the instantaneous rate of change larger: x = 2 or x = 5?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(A) Graph the function fx) = x-2 sinx in the viewing rectangle [0, 8] by [-2, 8].

(B) On which interval is the average rate of change larger: [1, 2] or [2, 3]?

(C) At which value of x is the instantaneous rate of change larger: x = 2 or x = 5?

(D) Check your visual estimates in part(c) by computing f'（x) and comparing the numerical values ​​of f'（2）and f'（5）

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