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b. Find the domain of the function given by the following formula and sketch them in the xy-plane. f(x,y)=√1 (x² + y²) c. Find the domain of the functions x+2y i. f(x, y) = 12 +243 y+x-3 ii.f(x, y) = ln(x-a)² + In(y - b)²

b. Find the domain of the function given by the following formula and sketch them in the xy-plane. f(x,y)=√1 (x² + y²) c. Find the domain of the functions x+2y i. f(x, y) = 12 +243 y+x-3 ii.f(x, y) = ln(x-a)² + In(y - b)²

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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please only solve parts b and c

Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0) b. Find the domain of the function given by the following formula and sketch them in the xy-plane. f(x,y)=√1 (x² + y²) c. Find the domain of the functions i. f(x,y) = x+2y y+x-3 ii. f(x, y) = ln(x − a)² +ln(y - b)²
Transcribed Image Text:Question 4 a. Let f(x,y) = x² + 2x + 2xy + y² Find f(1, 2) and f(0,0) b. Find the domain of the function given by the following formula and sketch them in the xy-plane. f(x,y)=√1 (x² + y²) c. Find the domain of the functions i. f(x,y) = x+2y y+x-3 ii. f(x, y) = ln(x − a)² +ln(y - b)²
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