Let H be the hemisphere x2 + y2 + z2 = 66, z ≥ 0,...

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Let H be the hemisphere x2 + y2 + z2 = 66, z ≥ 0, and suppose fis a continuous function with f(4, 5, 5) = 5, f(4, −5, 5) = 11,f(−4, 5, 5) = 12, and f(−4, −5, 5) = 15. By dividing H into fourpatches, estimate the value below. (Round your answer to thenearest whole number.) H f(x, y, z) dS

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