Sue is filling up a grain elevator that is shaped like a circular cylinder. Assume that the volume of the cylinder is V =T r²h, let r = 4 m, and h(t) = t?. What is the formula for the rate of change of the volume of the cylinder, with respect to time? d V = 16 T t2 dt d V = 32 Tt dt d V = 16 at dt d V = 32 T t2 dt

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Sue is filling up a grain elevator that is shaped like a circular cylinder. Assume that the volume of the cylinder is V = T r²h, let r = 4
m, and h(t) = t2.
What is the formula for the rate of change of the volume of the cylinder, with respect to time?
d V
= 16 T t2
dt
d V
= 32 Tt
dt
d V
= 16 at
dt
d V
= 32 n t2
dt
Transcribed Image Text:Sue is filling up a grain elevator that is shaped like a circular cylinder. Assume that the volume of the cylinder is V = T r²h, let r = 4 m, and h(t) = t2. What is the formula for the rate of change of the volume of the cylinder, with respect to time? d V = 16 T t2 dt d V = 32 Tt dt d V = 16 at dt d V = 32 n t2 dt
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