28. A cube with edges of length x centimeters has volume V (x) = x³ cubic centimeters. The volume is increasing at a constant rate of 40 cubic centimeters per minute. At the instant when x = 2, what is the rate of change of x, in centimeters per minute, with respect to time? (A) 23 10 40 (B) (C) 5 (D) 10 3

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Question
28. A cube with edges of length x centimeters has volume V (x) = x³ cubic centimeters. The volume is increasing at
a constant rate of 40 cubic centimeters per minute. At the instant when x = 2, what is the rate of change of x, in
centimeters per minute, with respect to time?
(A)
23
10
40
(B)
(C) 5
(D) 10
3
Transcribed Image Text:28. A cube with edges of length x centimeters has volume V (x) = x³ cubic centimeters. The volume is increasing at a constant rate of 40 cubic centimeters per minute. At the instant when x = 2, what is the rate of change of x, in centimeters per minute, with respect to time? (A) 23 10 40 (B) (C) 5 (D) 10 3
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