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Calculate the surface integral ff (V X F) ' (15 where M is the hemisphere $2 + y2 + 22 : 16, a? 2 0,

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Calculate the surface integral ff (V X F) ' (15 where M is the hemisphere $2 + y2 + 22 : 16, a? 2 0, with the normal in the direction of the positive x M direction, and F : ($2, 07 312)). Begin by writing down the "standard" parametrization of 6M as a function of the angle 0 (denoted by "t" in your answer), where 6M denotes the boundary of M {E I 1 y : ' Z : fBM F . ds : 02\" f(0) d0, where f(9) : (use "1" for theta). The value of the integral is

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