This Question: 16 of 25 (12 complete) The edges of a cube increase at a rate of 5 cm/s. How fast is the volume changing when the length of each edge is 10 cm? Write an equation relating the volume of a cube, V, and an edge of the cube, a. Differentiate both sides of the equation with respect to t. dV da (O (Type an expression using a as the variable.) %D dt dt The rate of change of the volume is (Simplify your answer.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....
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16 of 25 (12 complete)
The edges of a cube increase at a rate of 5 cm/s. How fast is the volume changing when the length of each edge is 10 cm?
Write an equation relating the volume of a cube, V, and an edge of the cube, a.
Differentiate both sides of the equation with respect to t.
dV
da
(O
(Type an expression using a as the variable.)
%D
dt
dt
The rate of change of the volume is
(Simplify your answer.)
Transcribed Image Text:This Question: 16 of 25 (12 complete) The edges of a cube increase at a rate of 5 cm/s. How fast is the volume changing when the length of each edge is 10 cm? Write an equation relating the volume of a cube, V, and an edge of the cube, a. Differentiate both sides of the equation with respect to t. dV da (O (Type an expression using a as the variable.) %D dt dt The rate of change of the volume is (Simplify your answer.)
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