Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = (y-x) i + (z-y) j + (z-x) k ; D: the region cut from the solid cylinder x 2 + y 2 ≤ 49 by the planes z = 0 and z=2 a) 0 b) 98π c) -98π d) -98

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = (y-x) i + (z-y) j + (z-x) k ; D: the region cut from the solid cylinder x 2 + y 2 ≤ 49 by the planes z = 0 and z=2 a) 0 b) 98π c) -98π d) -98

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.

F = (y-x) i + (z-y) j + (z-x) k ; D: the region cut from the solid cylinder x ² + y ² ≤ 49 by the planes z = 0 and z=2