Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
6.(3.1) (1) Let f(x, y) = xy³+x²+y². Find fxx, fxy, fyy and evaluate them at x0 = (2) Show that f(x, y) = arctan (H) is harmonic. (2, -1). 7.(3.2) Find the second order Taylor formula for the following functions at x0 = (0,0). (1) f(x, y) = tan(2x + 3y) (2) f(x, y) = ex-y²
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Transcribed Image Text:6.(3.1) (1) Let f(x, y) = xy³+x²+y². Find fxx, fxy, fyy and evaluate them at x0 = (2) Show that f(x, y) = arctan (H) is harmonic. (2, -1). 7.(3.2) Find the second order Taylor formula for the following functions at x0 = (0,0). (1) f(x, y) = tan(2x + 3y) (2) f(x, y) = ex-y²
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Step 1: Determination of given information
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Step 2: Description for finding f_xx, f_xy, f_yy
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Step 3: Proof of f(x,y) is harmonic
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