A cube has an edge of 4 feet. The edge is increasing at the rate of 2 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. V(m)=

College Algebra
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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...
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A cube has an edge of 4 feet. The edge is increasing at the rate of 2 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.

V(m)=

Need it typed out istead of on paper, can't read paper well. thank you.

Expert Solution
Step 1: Formula used and given.

 

Formula: The volume(V) of cube whose side length is s is given by,

V = s3.

Given: Initial length of side of cube is 4 feet and rate of change of side is 2 feet per minute.

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