4. Prove that the vector given by (2xy -y')7+(2x²y-3xy² +2) 7 is a gradient. Also, find the function having the given vector as its gradient.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Prove that the vector given by (2xy - y³)7+(2x²y=3xy² +2) 7 is a
4.
gradient. Also, find the function having the given vector as its gradient.
Transcribed Image Text:Prove that the vector given by (2xy - y³)7+(2x²y=3xy² +2) 7 is a 4. gradient. Also, find the function having the given vector as its gradient.
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