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Let H be the hemisphere  x2 + y2 + z2 = 29, z ≥ 0,  and suppose f is a continuous function with  f(3, 2, 4) = 7,   f(3, −2, 4) = 8,   f(−3, 2, 4) = 10,  and  f(−3, −2, 4) = 12.  By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)       Hf(x, y, z) dS

Let H be the hemisphere  x2 + y2 + z2 = 29, z ≥ 0,  and suppose f is a continuous function with  f(3, 2, 4) = 7,   f(3, −2, 4) = 8,   f(−3, 2, 4) = 10,  and  f(−3, −2, 4) = 12.  By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)       Hf(x, y, z) dS

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 47E
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Let H be the hemisphere 
x2 + y2 + z2 = 29, z ≥ 0,
 and suppose f is a continuous function with 
f(3, 2, 4) = 7,
 
f(3, −2, 4) = 8,
 
f(−3, 2, 4) = 10,
 and 
f(−3, −2, 4) = 12.
 By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.)
 
 
 
H
f(x, y, z) dS
 
Let H be the hemisphere x² + y² + z² = 29, z ≥ 0, and suppose f is a continuous function with f(3, 2, 4) = 7, f(3, −2, 4) = 8, f(−3, 2, 4) = 10, and f(−3, −2, 4) = 12. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.) J. F f(x, y, z) ds
Transcribed Image Text:Let H be the hemisphere x² + y² + z² = 29, z ≥ 0, and suppose f is a continuous function with f(3, 2, 4) = 7, f(3, −2, 4) = 8, f(−3, 2, 4) = 10, and f(−3, −2, 4) = 12. By dividing H into four patches, estimate the value below. (Round your answer to the nearest whole number.) J. F f(x, y, z) ds
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