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6. What is the average rate of change of the function f(z) = cos z over the interval z

6. What is the average rate of change of the function f(z) = cos z over the interval z

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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Just solve question 6 and 7, thanks.

5. What is the maximum value of the transformed sine function g(r) = -2 sin[3(r+ )) – 6? A. -4 B. -8 С. 4 D. 3. 6. What is the average rate of change of the function f(r) = cos z over the interval x<r< 2n? A. +. В. C. D. 0. 7. Which of the following is equivalent to con( - 2)? A. sin r B. COSI. C. - cOS T. D. - sin r. 8. Within the interval 0<r< 2x, the graph of f(2) = sin r crosses the r-axis at three points: I = 0, 1, 27. After a transformation of the form g(r) = sin kr, with 1.5 SkS2, how are the r-intercepts affected within the same interval? A. the new graph has three r-intercepts as before. B. the new graph has more than three r-intercepts. C. the new graph has less than three r-intercepts. D. the new graph does not have any r-intercepts. 9. If the interval under consideration is 0 <r< 2x, how many solutions does the equation sin r(1- - cos r) =0 have? А. 1. B. 2. C. 3. D. 4. 10. What is the period of the transformed function g(r) = -3sin(60° + 2r)? A. 6°. B. 60°. C. 120°. D. 180°.
Transcribed Image Text:5. What is the maximum value of the transformed sine function g(r) = -2 sin[3(r+ )) – 6? A. -4 B. -8 С. 4 D. 3. 6. What is the average rate of change of the function f(r) = cos z over the interval x<r< 2n? A. +. В. C. D. 0. 7. Which of the following is equivalent to con( - 2)? A. sin r B. COSI. C. - cOS T. D. - sin r. 8. Within the interval 0<r< 2x, the graph of f(2) = sin r crosses the r-axis at three points: I = 0, 1, 27. After a transformation of the form g(r) = sin kr, with 1.5 SkS2, how are the r-intercepts affected within the same interval? A. the new graph has three r-intercepts as before. B. the new graph has more than three r-intercepts. C. the new graph has less than three r-intercepts. D. the new graph does not have any r-intercepts. 9. If the interval under consideration is 0 <r< 2x, how many solutions does the equation sin r(1- - cos r) =0 have? А. 1. B. 2. C. 3. D. 4. 10. What is the period of the transformed function g(r) = -3sin(60° + 2r)? A. 6°. B. 60°. C. 120°. D. 180°.
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