In exercises 13 - 15, let S be the hemisphere æ² + y² + z² = 4, with z ≥ 0, and evaluate each surface integral, in the counterclockwise direction. 14. f(x-2y) ds
In exercises 13 - 15, let S be the hemisphere æ² + y² + z² = 4, with z ≥ 0, and evaluate each surface integral, in the counterclockwise direction. 14. f(x-2y) ds
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![In exercises 13 - 15, let \( S \) be the hemisphere \( x^2 + y^2 + z^2 = 4 \), with \( z \geq 0 \), and evaluate each surface integral, in the counterclockwise direction.
14. \[ \iint_S (x - 2y) \, dS \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07dc3289-c262-41f1-9fc5-a8d18500de1b%2Fd9f1b242-1c5a-4cfd-b9f0-98a11fc96a8c%2F4th4r9e_processed.png&w=3840&q=75)
Transcribed Image Text:In exercises 13 - 15, let \( S \) be the hemisphere \( x^2 + y^2 + z^2 = 4 \), with \( z \geq 0 \), and evaluate each surface integral, in the counterclockwise direction.
14. \[ \iint_S (x - 2y) \, dS \]
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