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23. Let f be the function with derivative defined by f'(x)=sin(x³) on the interval -1.8

23. Let f be the function with derivative defined by f'(x)=sin(x³) on the interval -1.8

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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23. Let f be the function with derivative defined by f'(x)=sin(x) on the interval -1.8<x<1.8. How many points of inflection does the graph of f have on this interval? (A) Two (B) Three (C) Four (D) Five (E) Six 24. A particle moves along the x-axis so that at any time 120, its velocity is given by v(t) =cos(2-r'). The position of the particle is 3 at time t=0. What is the position of the particle when its velocity is first equal to 0? (A) 0.411 (B) 1.310 (C) 2.816 (D) 3.091 (E) 3.411 25. The graph of f. the derivative of the function f. is shown above. If f()=0, which of the following must be true? I f(0) > f) II f(2) > fM) I f() > f() (A) I only (B) II only (C) II only D) I and II only (E) II and III only
Transcribed Image Text:23. Let f be the function with derivative defined by f'(x)=sin(x) on the interval -1.8<x<1.8. How many points of inflection does the graph of f have on this interval? (A) Two (B) Three (C) Four (D) Five (E) Six 24. A particle moves along the x-axis so that at any time 120, its velocity is given by v(t) =cos(2-r'). The position of the particle is 3 at time t=0. What is the position of the particle when its velocity is first equal to 0? (A) 0.411 (B) 1.310 (C) 2.816 (D) 3.091 (E) 3.411 25. The graph of f. the derivative of the function f. is shown above. If f()=0, which of the following must be true? I f(0) > f) II f(2) > fM) I f() > f() (A) I only (B) II only (C) II only D) I and II only (E) II and III only
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