Changing pyramid The volume of a pyramid with a square base units on a side and a height of h is V =x*h. a. Assume a and h are functions of t. Find V'(t). 1 for t 2 0. t + 1* b. Suppose x = and h Use part (a) to find V' (t). c. Does the volume of the pyramid in part (b) increase or decrease as t increases?

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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Changing pyramid The volume of a pyramid with a square base
units on a side and a height of h is V =x*h.
a. Assume a and h are functions of t. Find V'(t).
1
for t 2 0.
t + 1*
b. Suppose x =
and h
Use part (a) to find V' (t).
c. Does the volume of the pyramid in part (b) increase or
decrease as t increases?
Transcribed Image Text:Changing pyramid The volume of a pyramid with a square base units on a side and a height of h is V =x*h. a. Assume a and h are functions of t. Find V'(t). 1 for t 2 0. t + 1* b. Suppose x = and h Use part (a) to find V' (t). c. Does the volume of the pyramid in part (b) increase or decrease as t increases?
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