Find the Jacobian of the transformation

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Presentation transcript:

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

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

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

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

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