Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true? (A) The average value off on the interval 2 ≤ x ≤ 5 is 6. (B) g'(2) = 6 (C) g'(5) + g'(2) 2 (D) √ 8(x) dx = 6 = 6

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
Question
Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the
average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true?
(A) The average value off on the interval 2 ≤ x ≤ 5 is 6.
(B) g'(2) = 6
(C)
g'(5) + g'(2)
2
(D) √ 8(x) dx = 6
= 6
Transcribed Image Text:Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true? (A) The average value off on the interval 2 ≤ x ≤ 5 is 6. (B) g'(2) = 6 (C) g'(5) + g'(2) 2 (D) √ 8(x) dx = 6 = 6
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