e Do Homework Brianna Haynes Mozilla Firefox httpswww mathxl

e Do Homework Brianna Haynes Mozilla Firefox https://www. mathxl.com /Student/PlayerHomework.aspx?homeworkld-3820185128 questionld 2&flushed; true&cld; 4091592&centerwin; yes Calculus C Homework: HW 16 (Section 14.8) Score: 0 of 1 pt 5 of 5 (3 complete 14.8.13 Use the transformation u x y, v y-xto the ate given integral by first writing it as a integral over a region G in the lane 5 2-4y (y x x +4y e dx dy 5 2-4y x +4y) e y- X dx dy Type an exact answer.) Enter your answer in the answer box and then click Check Answer. Clear A All parts showing Ask me anything Brianna Haynes I 10/30/16 2:25 PM Save HW Score: 20% 1 of 5 pts Question Help Check Answer 2:25 PM 10/30/2016 R1

Solution

rearranging gives x = (u -4v)/5 and y = (u+v)/5

Jacobian = 1/5

So integral becomes u*e^v*(1/5) du dv

Whic becomes e^v * u^2 /10

both u and v vary from 0 t0 2/5

So answer is (e^(2/5) -1) ( 4/250)