For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0 (b) [ye 8xy - 4x y + 1]dx + N(x,y)dy = 0 (a) Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using x and y as the variables.) O A. +h(x), where h(x) is an arbitrary function of x. B. 9x sin 5xy + g(y), where g(y) is an arbitrary function of y. (b) Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using x and y as the variables.) O A. +h(x), where h(x) is an arbitrary function of x. B. + g(y), where g(y) is an arbitrary function of 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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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For each of the following equations, find the most general function N(x,y) so that the equation is exact.
(a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0
6
(b) [ye xy - 4x y + 1]dx + N(x,y)dy = 0
(a) Select the correct choice below and fill in the answer box to complete your choice.
(Type an expression using x and y as the variables.)
O A.
+h(x), where h(x) is an arbitrary function of x.
B. 9x sin 5xy + g(y), where g(y) is an arbitrary function of y.
(b) Select the correct choice below and fill in the answer box to complete your choice.
(Type an expression using x and y as the variables.)
O A.
+h(x), where h(x) is an arbitrary function of x.
B.
+ g(y), where g(y) is an arbitrary function of y.
Transcribed Image Text:For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (5xy) + e*]dx + N(x,y)dy = 0 6 (b) [ye xy - 4x y + 1]dx + N(x,y)dy = 0 (a) Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using x and y as the variables.) O A. +h(x), where h(x) is an arbitrary function of x. B. 9x sin 5xy + g(y), where g(y) is an arbitrary function of y. (b) Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using x and y as the variables.) O A. +h(x), where h(x) is an arbitrary function of x. B. + g(y), where g(y) is an arbitrary function of y.
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