Let H be the hemisphere x2 + y2 + z2 = 45, z ≥ 0, and suppose f is a continuous function with f(5, 2, 4) = 5, f(5, -2, 4) = 8, f(-5, 2, 4) = 10, and f(-5, -2,4)= 11. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.). JA Il Px.. f(x, y, z) ds

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let H be the hemisphere x² + y² + z² = 45, z ≥ 0, and suppose f is a continuous function with f(5, 2, 4) = 5, f(5, -2, 4) = 8, f(-5, 2, 4) = 10, and
f(-5, -2,4)= 11. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)
IL MX.X.
f(x, y, z) ds
Transcribed Image Text:Let H be the hemisphere x² + y² + z² = 45, z ≥ 0, and suppose f is a continuous function with f(5, 2, 4) = 5, f(5, -2, 4) = 8, f(-5, 2, 4) = 10, and f(-5, -2,4)= 11. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.) IL MX.X. f(x, y, z) ds
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