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Let H be the hemisphere x2 + y2 + z2 = 54, z ≥ 0, and...

Let H be the hemisphere x2 + y2 + z2 = 54, z ≥ 0, and suppose f is a continuous function with f(2, 5, 5) = 9, f(2, −5, 5) = 11, f(−2, 5, 5) = 12, and f(−2, −5, 5) = 13. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)

  
H

f(x, y, z) dS

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