Sketch the level curves of the function corresponding to each value of z. f(x, y) = √√√25 - x² - y²; z = 0, 1, 2, 3, 4 6 2 O -6 -4 -2 2 -2 O -6 y -4 -6- y 6 4 2 2 -4 -6- 2 4 6 6 X -6 DO -4 y 6 4 6 4 6 X y 6 2 O -6 -4 -2 2 -2 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 32E
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Sketch the level curves of the function corresponding to each value of z.
f(x, y) = √√√25x² - y²; z = 0, 1, 2, 3, 4
-
y
6
2
O
-6
-4
-2
2
-2
O
-6
-4
-6-
y
6+
4
2
2
-4
-6
2
4
6
6
X
-6
DO
-4
y
6
4
6
4
6
X
y
6
2
O
-6
-4
-2
2
-2
X
Transcribed Image Text:Sketch the level curves of the function corresponding to each value of z. f(x, y) = √√√25x² - y²; z = 0, 1, 2, 3, 4 - y 6 2 O -6 -4 -2 2 -2 O -6 -4 -6- y 6+ 4 2 2 -4 -6 2 4 6 6 X -6 DO -4 y 6 4 6 4 6 X y 6 2 O -6 -4 -2 2 -2 X
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