Exercise 5.7(1,2,3,4,5)

0 Question 5 B 0/1 pt '0 100 8 99 (D Details 1 63!: + By _ _ Find dA, where R 15 the parallelogram enclosed by the lines R 33!: + 53; 6:r:+6y=0, 6a:+6y=8, 3m+5y= 1, 3m+5y=6. Round your answer to four decimal places. This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle. Hint: Let u = 623 + 6yand v = 33: + 53;. O Question 1 B 0/1 pt '0 100 8 99 (D Details Find the Jacobian of the transformation 3 = 5\" 61), y = 11.2 + 'u . Question Help: El Video C Question 2 B 0/1 pt '0 100 Z 99 (D Details Find the Jacobian of the transformation 3 = 11,2 6112, y = 21w . Question Help: El Video 0 Question 3 B 0/1 pt '0 100 Z 99 6) Details Frequently, we encounter a need for two (different) linear transformations to transform a parallelogram into a rectangular region. When this happens, we need to make choices like: u = 4:1: 63; and v = 33: + 6y. For this example, find the inverse transformations: and use these to calculate the Jacobian: a\"; y 3(u,) 0 Question 4 80/1 pt '0 5 8 99 6) Details Find the Jacobian of the transformation: Hint: The focus of this problem is on finding the Jacobian for two dimensional