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# 12th - y = x and y = 3 x and hyperbolas xy = 1 xy = 3 x =...

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MATH  WEEK  (RECITATION QUESTIONS) . Find the area of the surface : the part of the plane z = 2 + 3 x + 4 y that lies above the rectangle [0 , 5] × [1 , 4] . . Find the area of the surface : the part of the sphere x 2 + y 2 + z 2 = 4 z that lies inside the paraboloid z = x 2 + y 2 . . ZZ R xy d A , where R is the region in the first quadrant bounded by the lines
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Unformatted text preview: y = x and y = 3 x and hyperbolas xy = 1 , xy = 3 ; x = u/v , y = v . . ZZ R x-2 y 3 x-y d A , where R is the parallelogram enclosed by the lines x-2 y = 0 , x-2 y = 4 , 3 x-y = 1 , and 3 x-y = 8 . ...
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