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13 Nov 2019
(1 point) Compute the area of the region D bounded by =1, x = 36 in the first quadrant of the xy-plane. (a) Graph the region D (b) Using the non-linear change of variables u = xy and v = xyz , find x and y as functions of u and v x-x(u, v) y = y(u, v) (c) Find the determinant of the Jacobian for this change of variables. det a(u, v) (d) Using the change of variables, set up a double integral for calculating the area of the region D b rd|a(x, y) dxdy = du dv = : du dv li, V (e) Evaluate the double integral and compute the area of the region D Area =
(1 point) Compute the area of the region D bounded by =1, x = 36 in the first quadrant of the xy-plane. (a) Graph the region D (b) Using the non-linear change of variables u = xy and v = xyz , find x and y as functions of u and v x-x(u, v) y = y(u, v) (c) Find the determinant of the Jacobian for this change of variables. det a(u, v) (d) Using the change of variables, set up a double integral for calculating the area of the region D b rd|a(x, y) dxdy = du dv = : du dv li, V (e) Evaluate the double integral and compute the area of the region D Area =
Patrina SchowalterLv2
22 Oct 2019