Compute the surface integral over the given oriented surface: F = (0, 6, x²), hemisphere x² + y² + z² = 64, z≥0, outward-pointing normal

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Compute the surface integral over the given oriented surface:
F = (0,6, x²), hemisphere x² + y² + z²
=
Answer:
64, z ≥ 0,
outward-pointing normal
Transcribed Image Text:Compute the surface integral over the given oriented surface: F = (0,6, x²), hemisphere x² + y² + z² = Answer: 64, z ≥ 0, outward-pointing normal
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