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3. The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = f(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5.

3. The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = f(t) dt. (a) Find the average rate of change of g from x = -5 to 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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3 3 3 3 3 NO CALCULATOR ALLOWED O Graph of f 3. The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = =ff(t) dr. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change of g with respect to x at x = 3, or state that it does not exist. authorized copying or reuse of -14- Continue question 3 on pa / part 3 11 3
Transcribed Image Text:3 3 3 3 3 NO CALCULATOR ALLOWED O Graph of f 3. The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = =ff(t) dr. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change of g with respect to x at x = 3, or state that it does not exist. authorized copying or reuse of -14- Continue question 3 on pa / part 3 11 3
3 3 3 3 3 3 ㅏ NO CALCULATOR ALLOWED (c) On what open intervals, if any, is the graph of g concave up? Justify your answer. (d) Find all x-values in the interval -5 < x < 5 at which g has a critical point. Classify each critical point as the location of a local minimum, a local maximum, or neither. Justify your answers. -15- TO THE NEXT PA Unauthorized copying or reuse of any part of this page is illegal.
Transcribed Image Text:3 3 3 3 3 3 ㅏ NO CALCULATOR ALLOWED (c) On what open intervals, if any, is the graph of g concave up? Justify your answer. (d) Find all x-values in the interval -5 < x < 5 at which g has a critical point. Classify each critical point as the location of a local minimum, a local maximum, or neither. Justify your answers. -15- TO THE NEXT PA Unauthorized copying or reuse of any part of this page is illegal.
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