A) f(x,y)=z²-y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist 7zy lim (z.) (0,0) 3x² + 5y2 C) Write a function f(x, y) such that the domain of f(x, y) is D = {(z,y) | 2² ≥9-y²}. Also provide a sketch for the domain.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A) f(x, y) = x²-y. Sketch 4 level curves of f(x, y).
B) Evaluate the following limit or show that it does not exist:
7ry
lim
(z) (0,0) 3x² + 5y²
C) Write a function f(x, y) such that the domain of f(x, y) is D = {(z,y) | 2² 29-y2}. Also provide a sketch for the domain
Transcribed Image Text:(2) ( ) A) f(x, y) = x²-y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 7ry lim (z) (0,0) 3x² + 5y² C) Write a function f(x, y) such that the domain of f(x, y) is D = {(z,y) | 2² 29-y2}. Also provide a sketch for the domain
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