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10 Nov 2019
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Find the area of the part of the surface z - y2 - x2 that lies between the cylinders x2 + y2 = 1 and x2 + y2 = 4 x2 dS, where S is the upper unit hemisphere z = F . ndS, where F(x, y, z) = y, x, z , and S is the part of the surface z = 1 - x2 - y2 that lies above the xy-plane, oriented upward.
please help me
Find the area of the part of the surface z - y2 - x2 that lies between the cylinders x2 + y2 = 1 and x2 + y2 = 4 x2 dS, where S is the upper unit hemisphere z = F . ndS, where F(x, y, z) = y, x, z , and S is the part of the surface z = 1 - x2 - y2 that lies above the xy-plane, oriented upward.