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(h) be the function of two variables (a) If, in addition, x=r cost and y=r sint, find the value of when (r₁ +) = (2, III). 2+ Such that 2 f (x,y) = < 3x²-3y - 3x + 3y²) and f(2,1)=40 line anation of at (21) b estimate the value

(h) be the function of two variables (a) If, in addition, x=r cost and y=r sint, find the value of when (r₁ +) = (2, III). 2+ Such that 2 f (x,y) = < 3x²-3y - 3x + 3y²) and f(2,1)=40 line anation of at (21) b estimate the value

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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Let f be the function of two variables such that 2 ✓ f(x,y) = < 3x²=- 3y - 3x + 3y2) and f(2,1)=4. (9) If, in addition, x=r cost and y=r sint, find the value of of when (r₁ +) = (2, 1). t) af at (b.) Use the linearization of f at (2,1) to estimate the value of f(202,0.99). (C.) Find the critical points of f, and determine if f has a relative maximum, a relative minimum, or a saddle point at each critical point
Transcribed Image Text:Let f be the function of two variables such that 2 ✓ f(x,y) = < 3x²=- 3y - 3x + 3y2) and f(2,1)=4. (9) If, in addition, x=r cost and y=r sint, find the value of of when (r₁ +) = (2, 1). t) af at (b.) Use the linearization of f at (2,1) to estimate the value of f(202,0.99). (C.) Find the critical points of f, and determine if f has a relative maximum, a relative minimum, or a saddle point at each critical point
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