-πr³, S = 4πr². The volume and surface area of a sphere both depend on its radius. 4 V = (i) Find the rate of change of the volume with respect to the radius and the rate of change of the surface area with respect to the radius. dv dr dS dr ||
-πr³, S = 4πr². The volume and surface area of a sphere both depend on its radius. 4 V = (i) Find the rate of change of the volume with respect to the radius and the rate of change of the surface area with respect to the radius. dv dr dS dr ||
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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Transcribed Image Text:-πr³, S = 4πr².
The volume and surface area of a sphere both depend on its radius.
4
V
=
(i) Find the rate of change of the volume with respect to the radius and the rate of change of the surface area with respect to the radius.
dv
dr
dS
dr
||
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