d the divergence (V · F) at (1,1,1) and (1, –1,1) of the vector field, F(x, y,z) = (xyez²) i+ (x²e²)j+ (x?ye²) k e Divergence theorem to find the outward flux of a vector field F(x, y, z) = x³i the curfaoo of the solid Oulinder 2 L212 1

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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a) Find the divergence (V · F) at (1,1,1) and (1, –1,1) of the vector field,
F(x, y, z) = (xye²) i+ (x²e²)j+ (x²ye²) k
b) Use Divergence theorem to find the outward flux of a vector field F(x, y, z) = x³i + y³ j+ 3z² k
across the surface of the solid cylinder x? + y? < 1, 0 < z < 1.
Page 1 of 1
Transcribed Image Text:a) Find the divergence (V · F) at (1,1,1) and (1, –1,1) of the vector field, F(x, y, z) = (xye²) i+ (x²e²)j+ (x²ye²) k b) Use Divergence theorem to find the outward flux of a vector field F(x, y, z) = x³i + y³ j+ 3z² k across the surface of the solid cylinder x? + y? < 1, 0 < z < 1. Page 1 of 1
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