As the equation is exact, there is a function f such that. = M(x, y) and = N(x, y). af ax af ду To find the function f, first take the integral of M with respect to x. Note the middle term requires the use of integration by parts. af əx -J = [M(x, y) dx = f(x- (y - 8xe* - 6x²) dx +(([ = xy + f(x, y) = dx -(C xe ) - 2x3 -2x³ + h(y)
As the equation is exact, there is a function f such that. = M(x, y) and = N(x, y). af ax af ду To find the function f, first take the integral of M with respect to x. Note the middle term requires the use of integration by parts. af əx -J = [M(x, y) dx = f(x- (y - 8xe* - 6x²) dx +(([ = xy + f(x, y) = dx -(C xe ) - 2x3 -2x³ + h(y)
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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