Question: For the following regions, find a simpler expression for each region byusing a different coordinate system.(a) D :={(x, y) : x 0, and x2+ y29}.(b)
For the following regions, find a simpler expression for each region byusing a different coordinate system.(a) D :={(x, y) : x 0, and x2+ y29}.(b) D :={(x, y) in the first quadrant : 4 x2+ y2}.(c) D :={(x, y) : x 0, y 0, and 36 x2+ y249}.(d) D :={(x, y) : x 0, y 0, and 16 x2+ y225}.(e) :={(x, y, z) in the first octant : x2+ y2100}.(f) :={(x, y, z) in the first octant : x2+ y2+ z2100}.(g) :={(x, y, z) : x2+ y2 z and x2+ y2+ z236}.(h) :={(x, y, z) : x2+ y2 z and z 4}.(i) :={(x, y, z) : z x2+ y2 and x2+ y2+ z24}.(j) :={(x, y, z) : 4 z x2+ y2}
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