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Consider the function g(x, y) = tan¬(1 – x) + 3e2"-y and the point P (1, 2). %3D a. Use the linearization of g at P to approximate the value of g(1.02, 1.9). b. Find the rate of change of g at P in the direction of ū = (3,4). c. If in addition, x = s2 +t and y = -2s + cos-1(t + 1), use multivariable chain rule to dg when s = -1 and t = 0. evaluate ds

Consider the function g(x, y) = tan¬(1 – x) + 3e2"-y and the point P (1, 2). %3D a. Use the linearization of g at P to approximate the value of g(1.02, 1.9). b. Find the rate of change of g at P in the direction of ū = (3,4). c. If in addition, x = s2 +t and y = -2s + cos-1(t + 1), use multivariable chain rule to dg when s = -1 and t = 0. evaluate ds

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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Consider the function g(x, y) = tan¬(1 – x) + 3e²"-y and the point P (1, 2). a. Use the linearization of g at P to approximate the value of g(1.02, 1.9). b. Find the rate of change of g at P in the direction of ū = (3,4). c. If in addition, x = s2 +t and y = -2s + cos-1(t + 1), use multivariable chain rule to dg when s = -1 and t = 0. ds evaluate
Transcribed Image Text:Consider the function g(x, y) = tan¬(1 – x) + 3e²"-y and the point P (1, 2). a. Use the linearization of g at P to approximate the value of g(1.02, 1.9). b. Find the rate of change of g at P in the direction of ū = (3,4). c. If in addition, x = s2 +t and y = -2s + cos-1(t + 1), use multivariable chain rule to dg when s = -1 and t = 0. ds evaluate
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