below is conservative and find its poter 3x²e³y +15y²z+2x²yz²)j + (5y³ + 2x²

Calculus: Early Transcendentals
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Author:James Stewart
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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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Show that the vector field given below is conservative and find its potential function.
F(x, y, z)=(2xe³ +2xy²z²)ī +(3x²e³ +15y²z+2x²yz²)j +(5y³ +2x²y²z)k
Transcribed Image Text:Show that the vector field given below is conservative and find its potential function. F(x, y, z)=(2xe³ +2xy²z²)ī +(3x²e³ +15y²z+2x²yz²)j +(5y³ +2x²y²z)k
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