Find the centroid x, y, z of the region R cut out of the region 0 < z< 8/x² + y² by the cylinder x2 + y² = 2x. a = y = || |8

Q: 2. Find the area of the plane region bounded by the curves y = x2 – 2 and y = x

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Q: Evaluate Z Z F (x 2 + y 2 ) dA where F is the region bounded by y = x 2 and x = y 2

A: We need to evaluate ∫∫(x2+y2)dA The region is given in the diagram below

Q: ind the area of the region bounded above by y O O पं ထာ 16 3 -2. 32 3 O 36 4 X = —2 + 5 and below by…

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Q: A region in the xy-plane is bounded by y = 2x + 2, X = y + 2, y = -2, 2 y = 2. and

A: Given curves are y=2x+2 and x=y22+2 The limits are y=-2 and y=2 We isolate x from the first curve,…

Q: Find the area of the region bounded by y = x2+ 2x – 1, y =÷+x-÷, x = -3, x = 1.

A: Find your answer below

Q: Find the area of the region bounded by x = y² and 3y = 2 +x

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Q: Sketch the region D = {(r, )|1<r< 2, -<0S} , and evaluate z dA.

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Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: Find the area of the region bounded by x = 4- y and y = x– 2.

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Q: Find and describe the region inscribed by the lines (x-axis), (y = -x+2) and (x = 2y-4) under the…

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