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(a) The graph of f(x) is shown below. What is the sign of the second derivative of f(x)? [positive -10 -Ś 10 54 0 -5+ -10 (b) The formula for g is given by g(x) = -ax² + bx + 639 for some positive constants a and b. What is the sign of the second derivative of g(x)? [negative (c) Some values of a function S are shown in the table below. What is the sign of the second derivative of S(x)? [positive x 1 2 3 4 S(x) 59 60 62 65

(a) The graph of f(x) is shown below. What is the sign of the second derivative of f(x)? [positive -10 -Ś 10 54 0 -5+ -10 (b) The formula for g is given by g(x) = -ax² + bx + 639 for some positive constants a and b. What is the sign of the second derivative of g(x)? [negative (c) Some values of a function S are shown in the table below. What is the sign of the second derivative of S(x)? [positive x 1 2 3 4 S(x) 59 60 62 65

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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In each case below, select the best answer to the question. (a) The graph of f(x) is shown below. What is the sign of the second derivative of f(x) ? [positive -10 -5 X S(x) 10 5+ X 0 T'(x) -5+ (b) The formula for g is given by g(x) -ax² + bx + 639 for some positive constants a and b. What is the sign of the second derivative of g(x)? [negative -10 5 (c) Some values of a function S are shown in the table below. What is the sign of the second derivative of S(x) ? [positive 10 12 3 4 59 60 62 65 = (d) Some values of the derivative of a function T are shown in the table below. What is the sign of the second derivative of T(x)? [---Select--- 7 8 9 10 20 15 11 8 V
Transcribed Image Text:In each case below, select the best answer to the question. (a) The graph of f(x) is shown below. What is the sign of the second derivative of f(x) ? [positive -10 -5 X S(x) 10 5+ X 0 T'(x) -5+ (b) The formula for g is given by g(x) -ax² + bx + 639 for some positive constants a and b. What is the sign of the second derivative of g(x)? [negative -10 5 (c) Some values of a function S are shown in the table below. What is the sign of the second derivative of S(x) ? [positive 10 12 3 4 59 60 62 65 = (d) Some values of the derivative of a function T are shown in the table below. What is the sign of the second derivative of T(x)? [---Select--- 7 8 9 10 20 15 11 8 V
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