19. The function g is differentiable on the closed interval [-2, 6] and satisfies g(2) = -3 The graph of g', the derivative of g, consists of a semicircle and two line segments as shown in the figure to the right. A. Find each of the following: (1) g(6) (m) g(-2) (ii) g'(3) 8. At what value of x on the interval -2 sxs6 will g achieve its absolute maximum? What is the maximum value of g on that interval? Graph of g' 19 14- (6-4) 10

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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19. The function g is differentiable on the closed interval [-2, 6] and satisfies g(2) = -3 The graph of g', the derivative
of g, consists of a semicircle and two line segments as shown in the figure to the right.
A. Find each of the following:
(1)
g(6)
(1) g(-2)
(ii) g'(3)
8. At what value of x on the interval -2 sxs6 will g achieve
its absolute maximum? What is the maximum value of g on
that interval?
Graph of g
2
(4,4)
(6-4)
10
Transcribed Image Text:19. The function g is differentiable on the closed interval [-2, 6] and satisfies g(2) = -3 The graph of g', the derivative of g, consists of a semicircle and two line segments as shown in the figure to the right. A. Find each of the following: (1) g(6) (1) g(-2) (ii) g'(3) 8. At what value of x on the interval -2 sxs6 will g achieve its absolute maximum? What is the maximum value of g on that interval? Graph of g 2 (4,4) (6-4) 10
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