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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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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