Question: Write the equation in spherical coordinates. (a) z = 9x2 + 9y2 9(p2cos20 sin20 + pasin20 sin20 X (b) z = 8x2 - 8y2 2

8y2 2 8p sin 2 Q cos ( 20 XFind the Jacobian

of the transformation. X = 6u + V, y = 9u -

v -15 Need Help? Read It [0/1 Points] DETAILS PREVIOUS ANSWERS SCA

Find the Jacobian of the transformation. X = 2uv, y = 4vw,

Write the equation in spherical coordinates. (a) z = 9x2 + 9y2 9(p2cos20 sin20 + pasin20 sin20 X (b) z = 8x2 - 8y2 2 8p sin 2 Q cos ( 20 XFind the Jacobian of the transformation. X = 6u + V, y = 9u - v -15 Need Help? Read It [0/1 Points] DETAILS PREVIOUS ANSWERS SCA Find the Jacobian of the transformation. X = 2uv, y = 4vw, Z = 6wu XEvaluate the integral by making an appropriate change of variables. // 5 sin(9x2 + 95/2) 034, where R is the region in the first quadrant bounded by the ellipse 9X2 -l- 9y2 = 1 . R X Need Help? 4. [-/1 Points] DETAILS SCALC915.9.029. MY NOTES | ASK YOU Evaluate the integral by making an appropriate change of variables. // 9e5x + By dA, where R is given by the inequality 5|XI + 5|y| S 5 R Find the gradient vector field Vf of f. f ( x, y, z) = xyey/z 3 3 2 Vf ( x, y, z) = 3x-ve * ve ve Z 2 X

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