1. Given F(x, y, 2) = (3y+z*)7+(-6y°z+3x)j+(3xz² -2y')k. a) Show that F(x, y, z) is a conservative force field. b) If F is conservative then exist such as F = Af . Find f.

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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1. Given F(x, y, 2) = (3y+z*)7+(-6y°z+3x)j+(3xz² -2y')k.
a) Show that F(x, y, z) is a conservative force field.
b) If F is conservative then exist such as F = Af . Find f.
Transcribed Image Text:1. Given F(x, y, 2) = (3y+z*)7+(-6y°z+3x)j+(3xz² -2y')k. a) Show that F(x, y, z) is a conservative force field. b) If F is conservative then exist such as F = Af . Find f.
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