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Let H be the hemisphere x2 + y2 + z2 = 17, z ≥ 0, and...

Let H be the hemisphere

x2 + y2 + z2 = 17, z ≥ 0,

and suppose f is a continuous function with

f(3, 2, 2) = 10,

f(3, −2, 2) = 11,

f(−3, 2, 2) = 13,

and

f(−3, −2, 2) = 14.

By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)

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