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Question 2: Provide an approximate value of f(x, y) = ln(1+x-y) at the point (0.01, -0.2) using local linearization. Compare it with the value obtained by evaluating this function using a calculator.

Question 2: Provide an approximate value of f(x, y) = ln(1+x-y) at the point (0.01, -0.2) using local linearization. Compare it with the value obtained by evaluating this function using a calculator.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 Local linearization Question 1: What is the local linear approximation of the following functions near the point given? • f(x, y) = 4x² + 2y² - xy + 5 near the point (0,1) • f(x, y, z) = near the point (1,1,0). . f(x, t) = sin(x- ct) near the point (7,2). Question 2: Provide an approximate value of f(x, y) = ln(1+x-y) at the point (0.01, -0.2) using local linearization. Compare it with the value obtained by evaluating this function using a calculator.
Transcribed Image Text:1 Local linearization Question 1: What is the local linear approximation of the following functions near the point given? • f(x, y) = 4x² + 2y² - xy + 5 near the point (0,1) • f(x, y, z) = near the point (1,1,0). . f(x, t) = sin(x- ct) near the point (7,2). Question 2: Provide an approximate value of f(x, y) = ln(1+x-y) at the point (0.01, -0.2) using local linearization. Compare it with the value obtained by evaluating this function using a calculator.
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