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2. Let f(x,y) = + (y + 2)² + 2 a) Sketch the level curve for f(x,y) = 6. (Ch. 10.5, 12.1) b) Find the gradient of f(x,y) in the point (4,-2). (Ch. 12.7) c) Let g(x,y) = ln(f(x,y)). In which points (x,y) in R2 is the function g welldefined. (Ch. 10.5, 12.1)

2. Let f(x,y) = + (y + 2)² + 2 a) Sketch the level curve for f(x,y) = 6. (Ch. 10.5, 12.1) b) Find the gradient of f(x,y) in the point (4,-2). (Ch. 12.7) c) Let g(x,y) = ln(f(x,y)). In which points (x,y) in R2 is the function g welldefined. (Ch. 10.5, 12.1)

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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2. Let f(x,y) = + (y + 2)² +2 a) Sketch the level curve for f(x,y) = 6. (Ch. 10.5, 12.1) b) Find the gradient of f(x,y) in the point (4, -2). (Ch. 12.7) c) Let g(x,y) = ln(f(x,y)). In which points (x,y) in R2 is the function g welldefined. (Ch. 10.5, 12.1)
Transcribed Image Text:2. Let f(x,y) = + (y + 2)² +2 a) Sketch the level curve for f(x,y) = 6. (Ch. 10.5, 12.1) b) Find the gradient of f(x,y) in the point (4, -2). (Ch. 12.7) c) Let g(x,y) = ln(f(x,y)). In which points (x,y) in R2 is the function g welldefined. (Ch. 10.5, 12.1)
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