1. Find the Jacobian of the transformation
Find the Jacobian of the transformation. {image} Choose your answer from below.
{image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find the Jacobian of the transformation
Find the Jacobian of the transformation. {image} Choose your answer from below.
{image} 2. 1. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Use the given transformation to evaluate the integral
Use the given transformation to evaluate the integral. {image} where R is the region bounded by the lines {image} Choose your answer from below. -8
1.6 8
-1.6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Use the given transformation to evaluate the integral
Use the given transformation to evaluate the integral. {image} where R is the region in the first quadrant bounded curves {image} Select the correct answer. The choices are rounded to the nearest hundredth.
5.63
-5.63
15.75
16.88 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Evaluate the integral by making an appropriate change of variables
Evaluate the integral by making an appropriate change of variables. {image} where R is the parallelogram bounded by the lines {image} Select the correct answer. The choices are rounded to the nearest hundredth.
-0.107
-0.121
0.121
0.107 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50