Find the average rate of change of f on the interval −3≤x≤4. (B) Write an equation for the line tangent to the graph of f at x=3. (C) Find the average value of f on the interval −3≤x≤4 . (D) Must there be a value of x at which f(x) attains an absolute maximum on the closed interval −3≤x≤4? Justify your answer.
Find the average rate of change of f on the interval −3≤x≤4. (B) Write an equation for the line tangent to the graph of f at x=3. (C) Find the average value of f on the interval −3≤x≤4 . (D) Must there be a value of x at which f(x) attains an absolute maximum on the closed interval −3≤x≤4? Justify your answer.
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) Find the average rate of change of f on the interval −3≤x≤4.
(B) Write an equation for the line tangent to the graph of f at x=3.
(C) Find the average value of f on the interval −3≤x≤4 .
(D) Must there be a value of x at which f(x) attains an absolute maximum on the closed interval −3≤x≤4? Justify your answer.

Transcribed Image Text:z – 6/
0 <x < 4
9 – x²
-3 < x <0
f(2){-x + 3 cos()
COS
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