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
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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.

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