(a) If A = (4xy – 3x²2²)i + 2x?j – 2x°z k, prove that A dr is independent of the curve C joining two given points. (b) Show that there is a differentiable function ¢ such that A = Vo and find it. Ans. (b) $ = 2x²y – x° 22

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) If A = (4xy – 3x²2²)i + 2x?j – 2x°z k, prove that
A dr is independent of the curve C joining
two given points. (b) Show that there is a differentiable function ¢ such that A = Vo and find it.
Ans. (b) $ = 2x²y – x° 22
Transcribed Image Text:(a) If A = (4xy – 3x²2²)i + 2x?j – 2x°z k, prove that A dr is independent of the curve C joining two given points. (b) Show that there is a differentiable function ¢ such that A = Vo and find it. Ans. (b) $ = 2x²y – x° 22
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