Recall that the volume V of a circular cylinder with a base of radius r and height h can be described by the function V = f(r, h) = Tr²h. Compute the differential dV a) dV = b) A company produces steel cylinders with radius r = 22 mm and height h = 45 mm. A coating process increases the radius by 0.5 mm and increases the height by 1.5 mm. Use the differential to estimate the change in volume. dV = mm3
Recall that the volume V of a circular cylinder with a base of radius r and height h can be described by the function V = f(r, h) = Tr²h. Compute the differential dV a) dV = b) A company produces steel cylinders with radius r = 22 mm and height h = 45 mm. A coating process increases the radius by 0.5 mm and increases the height by 1.5 mm. Use the differential to estimate the change in volume. dV = mm3
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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