The figure shows level sets f(x,y)=1 and g(x,y)=0 for two different functions f(x,y) and g(x,y). ASsuming that the graphs of f and g are both elliptic paraboloids with x=0 and y=D0 as planes of reflection symmetry and that f(0,0)=0 and g(0,0)=1, find formulas for these functions. f(x,y)= g(x,y)= -3 --2 -1 1 3 -2 1 Level set f(r, y) = 1 Level set g(r, y) = 0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The figure shows level sets f(x,y)=1 and g(x,y)=0 for
two different functions f(x,y) and g(x,y). Assuming that
the graphs of f and g are both elliptic paraboloids
with x=0 and y=0 as planes of reflection symmetry
and that f(0,0)=0 and g(0,0)=1, find formulas for these
functions.
f(x,y)=
g(x,y)=
00
y
-3
-2
1
2.
3
-2
-1
1
3
Level set f(r, y) = 1
Level set g(z, y) = 0
%3D
1.
Transcribed Image Text:The figure shows level sets f(x,y)=1 and g(x,y)=0 for two different functions f(x,y) and g(x,y). Assuming that the graphs of f and g are both elliptic paraboloids with x=0 and y=0 as planes of reflection symmetry and that f(0,0)=0 and g(0,0)=1, find formulas for these functions. f(x,y)= g(x,y)= 00 y -3 -2 1 2. 3 -2 -1 1 3 Level set f(r, y) = 1 Level set g(z, y) = 0 %3D 1.
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