Converting each of the following functions according to the specified map, set up but do not evalua the integral based on the given map and domain of integration, D. Be sure to include the limits of integration tha correspond to the map. (a) Function: f(z,y) = 1²-y Map: G(u,v) = (v²,v-u) D:1<< 12,0

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Converting cach of the following functions according to the specified map, set up but do not evaluate
the integral based on the given map and domain of integration, D. Be sure to include the limits of integration that
correspond to the map.
(a) Function: f(r, y) =x² - y
Map: G(u, v) = (vu², v-u)
D:1≤ ≤ 12,0 ≤y≤1
(b) Function: f(r, y, 2) = ² + 3y²
Map: Spherical Coordinates
D: Upper hemisphere defined by z=
Transcribed Image Text:Converting cach of the following functions according to the specified map, set up but do not evaluate the integral based on the given map and domain of integration, D. Be sure to include the limits of integration that correspond to the map. (a) Function: f(r, y) =x² - y Map: G(u, v) = (vu², v-u) D:1≤ ≤ 12,0 ≤y≤1 (b) Function: f(r, y, 2) = ² + 3y² Map: Spherical Coordinates D: Upper hemisphere defined by z=
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