4. Find fffy div F dV, when F = (x² + xy)i + (y² + yz)j + (z²+zx)k, and V is the cube centered at the origin and with faces on the planes x = ±1, y = ±1, z = ± 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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Number 4 please
(b) Exercise 5, section 4.7.
4. Find fffy div F dV, when F = (x² + xy)i + (y² + yz)j + (z²+zx)k, and V is the
cube centered at the origin and with faces on the planes x = ±1, y = ±1, z
= ±1.
5. Use the divergence theorem to evaluate ffs F n dS, when F = y²xi + x²yj + z²k, and
when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and
Transcribed Image Text:(b) Exercise 5, section 4.7. 4. Find fffy div F dV, when F = (x² + xy)i + (y² + yz)j + (z²+zx)k, and V is the cube centered at the origin and with faces on the planes x = ±1, y = ±1, z = ±1. 5. Use the divergence theorem to evaluate ffs F n dS, when F = y²xi + x²yj + z²k, and when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and
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