1. (a) If V is the volume of a cube with edge length x and the cube expands as time passes, find dV/dt in terms of dx/dt. (b) If the length of the edge of a cube is increasing at a rate of 4 cm/s, how fast is the volume of the cube increasing when the edge length is 15 cm?
1. (a) If V is the volume of a cube with edge length x and the cube expands as time passes, find dV/dt in terms of dx/dt. (b) If the length of the edge of a cube is increasing at a rate of 4 cm/s, how fast is the volume of the cube increasing when the edge length is 15 cm?
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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Transcribed Image Text:1. (a) If V is the volume of a cube with edge length x and the
cube expands as time passes, find dV/dt in terms of
dx/dt.
(b) If the length of the edge of a cube is increasing at a rate
of 4 cm/s, how fast is the volume of the cube increasing
when the edge length is 15 cm?
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