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1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is the height. Suppose that r and h are both functions of time t. Find the rate of change in the Volume V with respect to the time t. In other words, find. One of the following is the correct answer. dt (a) Tr²h+2rh (b) πr² dh +2ærhª dt (c) (d) dV (e) d is none of the above dt If the correct answer is (a), then type a. If the correct answer is (b), then type b. Et cetera. dV dt dv dt dV dt dV dt = = : 2πrh = = 2xrh dr

1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is the height. Suppose that r and h are both functions of time t. Find the rate of change in the Volume V with respect to the time t. In other words, find. One of the following is the correct answer. dt (a) Tr²h+2rh (b) πr² dh +2ærhª dt (c) (d) dV (e) d is none of the above dt If the correct answer is (a), then type a. If the correct answer is (b), then type b. Et cetera. dV dt dv dt dV dt dV dt = = : 2πrh = = 2xrh dr

Calculus: Early Transcendentals
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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1) The volume of a right cylinder is given by the equation V = Tr²h, where r is the radius and h is the height. Suppose that r and h are both functions of time t. Find the rate of change in the Volume V with respect to the time t. In other words, find dV dt dV dt (a) (b) dv dV dt dv dt = dV dt Tr²h + 2rh ,2 dh dt = πr = = 2πrh · (c) dV (d) dv dt (e) is none of the above If the correct answer is (a), then type a. If the correct answer is (b), then type b. Et cetera. One of the following is the correct answer. + 2πrh dr dt 2πrh dr dt
Transcribed Image Text:1) The volume of a right cylinder is given by the equation V = Tr²h, where r is the radius and h is the height. Suppose that r and h are both functions of time t. Find the rate of change in the Volume V with respect to the time t. In other words, find dV dt dV dt (a) (b) dv dV dt dv dt = dV dt Tr²h + 2rh ,2 dh dt = πr = = 2πrh · (c) dV (d) dv dt (e) is none of the above If the correct answer is (a), then type a. If the correct answer is (b), then type b. Et cetera. One of the following is the correct answer. + 2πrh dr dt 2πrh dr dt
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