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3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear pieces and a semicircle, as shown in the figure above. Let fbe the function defined by f(x) = 3x + -[*g(t) dt. (a) Find f (7) and f' (7). B I U X² X₂ 5 C 22 E 13 Numbered list (b) Find the value of x in the closed interval (-4, 3] at which fattains its maximum value. Justify your answer. B I U X² X₂ 3 Ć 22 B (c) For each of lim g'(x) and lim g'(x), find the value or state that it does not exist. 2-0 I Y X² X₂ 5 E Ć 22 E Graph of g

3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear pieces and a semicircle, as shown in the figure above. Let fbe the function defined by f(x) = 3x + -[*g(t) dt. (a) Find f (7) and f' (7). B I U X² X₂ 5 C 22 E 13 Numbered list (b) Find the value of x in the closed interval (-4, 3] at which fattains its maximum value. Justify your answer. B I U X² X₂ 3 Ć 22 B (c) For each of lim g'(x) and lim g'(x), find the value or state that it does not exist. 2-0 I Y X² X₂ 5 E Ć 22 E Graph of g

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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+$² 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear pieces and a semicircle, as shown in the figure above. Let f be the function defined by f(x) = 3x + (a) Find f (7) and f' (7). B I U X² X₂ S Numbered list (b) Find the value of x in the closed interval [-4, 3] at which fattains its maximum value. Justify your answer. B I U X² X₂ B I U B (c) For each of lim g'(x) and lim g'(x), find the value or state that it does not exist. 2-0 2-0¹ (d) Find lim X² X₂ f(x)+7 2--2 e³+6-11 I 22 U X² X₂ 5 22 E 22 22 g(t) dt. Graph of g 6 8
Transcribed Image Text:+$² 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear pieces and a semicircle, as shown in the figure above. Let f be the function defined by f(x) = 3x + (a) Find f (7) and f' (7). B I U X² X₂ S Numbered list (b) Find the value of x in the closed interval [-4, 3] at which fattains its maximum value. Justify your answer. B I U X² X₂ B I U B (c) For each of lim g'(x) and lim g'(x), find the value or state that it does not exist. 2-0 2-0¹ (d) Find lim X² X₂ f(x)+7 2--2 e³+6-11 I 22 U X² X₂ 5 22 E 22 22 g(t) dt. Graph of g 6 8
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