On a certain day, the total number of pieces of candy produced by a factory since it opened is modeled by C, a differentiable function of the number of hours since the factory opened. Which of the following is the best interpretation of C'(3) = 500? a. The factory produces 500 pieces of candy during its 3rd hour of operation. b. The factory produces 500 pieces of candy in the first 3 hours after it opens. c. The factory is producing candy at a rate of 500 pieces per hour, 3 hours after it opens. d. The rate at which the factory is producing candy is increasing at a rate of 500 pieces per hour per hour, 3 hours after it opens. e. None of the above.

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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On a certain day, the total number of pieces of candy produced by a factory since it
opened is modeled by C, a differentiable function of the number of hours since the
factory opened. Which of the following is the best interpretation of C'(3) = 500?
a. The factory produces 500 pieces of candy during its 3rd hour of operation.
b. The factory produces 500 pieces of candy in the first 3 hours after it opens.
c. The factory is producing candy at a rate of 500 pieces per hour, 3 hours after it
opens.
d. The rate at which the factory is producing candy is increasing at a rate of 500 pieces
per hour per hour, 3 hours after it opens.
е.
None of the above.
Transcribed Image Text:On a certain day, the total number of pieces of candy produced by a factory since it opened is modeled by C, a differentiable function of the number of hours since the factory opened. Which of the following is the best interpretation of C'(3) = 500? a. The factory produces 500 pieces of candy during its 3rd hour of operation. b. The factory produces 500 pieces of candy in the first 3 hours after it opens. c. The factory is producing candy at a rate of 500 pieces per hour, 3 hours after it opens. d. The rate at which the factory is producing candy is increasing at a rate of 500 pieces per hour per hour, 3 hours after it opens. е. None of the above.
The figure below shows the graph of the polynomial function f. For which value of x is
it true that f"(x) < f'(x) < f (x)?
а.
b. b
С.
d. d
е.
e
Graph of f
Transcribed Image Text:The figure below shows the graph of the polynomial function f. For which value of x is it true that f"(x) < f'(x) < f (x)? а. b. b С. d. d е. e Graph of f
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