The volume V of a right circular cylinder of radius r and height h is V = ar?h. (a) How is 4 related to 4 if h is constant and r varies with time? (Enter 4 as dr/dt.) AP dV dt (b) How is related to * if r is constant and h varies with time? (Enter * as dh/dt.) AP dV dt (C) How is * related to * and * if both h and r vary with time? AP dV dt

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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The volume V of a right circular cylinder of radius r and height h is V = ar?h.
(a) How is 4 related to 4 if h is constant and r varies with time? (Enter 4 as dr/dt.)
AP
dV
dt
(b) How is related to * if r is constant and h varies with time? (Enter * as dh/dt.)
AP
dV
dt
(C) How is * related to * and * if both h and r vary with time?
AP
dV
dt
Transcribed Image Text:The volume V of a right circular cylinder of radius r and height h is V = ar?h. (a) How is 4 related to 4 if h is constant and r varies with time? (Enter 4 as dr/dt.) AP dV dt (b) How is related to * if r is constant and h varies with time? (Enter * as dh/dt.) AP dV dt (C) How is * related to * and * if both h and r vary with time? AP dV dt
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