For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (3xy) + e*]dx + N(x,y)dy = 0 (b) [yexy-8x²y +5]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.) A. 9x sin (3xy) + g(y), where g(y) is an arbitrary function of y. O B. +h(x), where h(x) is an arbitrary function of x. (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. O B. + g(y), where g(y) is an arbitrary function of y.

For each of the following equations, find the most general function N(x,y) so that the equation is exact. (a) [9y sin (3xy) + e*]dx + N(x,y)dy = 0 (b) [yexy-8x²y +5]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.) A. 9x sin (3xy) + g(y), where g(y) is an arbitrary function of y. O B. +h(x), where h(x) is an arbitrary function of x. (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. O B. + g(y), where g(y) is an arbitrary function of y.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 37E: Use graphical differentiation to verify that ddxex=ex.

See similar textbooks