A square-based pyramid has a height that is increasing at a rate of 7 inches per minute while the sides are held constant. What is the equation to be used in order to compute the rate at which the volume is increasing? O O O O dV dt dV dt dV dt dA dt || = - || WIN 12/28 dh S dt | دن 2 dh dt w/1 dh 3 dt 2 dh dt S + s ds 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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A square-based pyramid has a height that is increasing at a rate of 7
inches per minute while the sides are held constant. What is the
equation to be used in order to compute the rate at which the volume is
increasing?
O
dV
dt
dV
dt
dV
dt
dA
dt
||
1|1
||
230
=
| دن
S
12 dh
dt
w/1
dh
dt
dh
dt
2 dh
dt
S
+ 1/2 sd
dt
Transcribed Image Text:A square-based pyramid has a height that is increasing at a rate of 7 inches per minute while the sides are held constant. What is the equation to be used in order to compute the rate at which the volume is increasing? O dV dt dV dt dV dt dA dt || 1|1 || 230 = | دن S 12 dh dt w/1 dh dt dh dt 2 dh dt S + 1/2 sd dt
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