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Q2) A) Verify that wxy = Wyx for w = x sin y + y sin x+ xy. B) Show that f(x, y) = e-y cos 2x satisfies a Laplace Equation C) Find the derivative of f(x, y, z) = In(2x + 3y+ 6z) at (-1,-1, 1) in the ょ,つょ !!

Q2) A) Verify that wxy = Wyx for w = x sin y + y sin x+ xy. B) Show that f(x, y) = e-y cos 2x satisfies a Laplace Equation C) Find the derivative of f(x, y, z) = In(2x + 3y+ 6z) at (-1,-1, 1) in the ょ,つょ !!

Calculus: Early Transcendentals
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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Q2) A) Verify that wxy = Wyx for w = x sin y + y sin x + xy. B) Show that f(x, y) = e-2y cos 2x satisfies a Laplace Equation = 0). C) Find the derivative of f(x, y, z) = In(2x + 3y + 6z) at (-1,-1, 1) in the direction of the vector v = 2i + 3j + 6k. %3D
Transcribed Image Text:Q2) A) Verify that wxy = Wyx for w = x sin y + y sin x + xy. B) Show that f(x, y) = e-2y cos 2x satisfies a Laplace Equation = 0). C) Find the derivative of f(x, y, z) = In(2x + 3y + 6z) at (-1,-1, 1) in the direction of the vector v = 2i + 3j + 6k. %3D
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