Display the values of the function in two ways: (a) by sketching the surface z= f(x,y) and (b) by drawing an assortment of level curves in the function's domain. Label each level curve with its function value. (x.y) = 4x² + 4y2 a. Which of the following surface graphs represents f(x,y) = 4x2 + 4y2? O A. OB. Oc. b. Which of the following is the graph of the level curves of f(x,y) = 4x² + 4y2? O A. Ов. Oc. z-16 z-20 z-20 z-8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
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Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by drawing an assortment of level curves in the function's domain. Label each level curve with its function value.
f(x,y) = 4x2 + 4y2
a. Which of the following surface graphs represents f(x,y) = 4x2 + 4y2?
O A.
В.
Oc.
y
y
b. Which of the following is the graph of the level curves of f(x,y) = 4x2 +4y??
%3D
O A.
В.
С.
2.
z=16
z=20
z=20
1/4
1
2
z=8
Xz=4
z=8
Transcribed Image Text:Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by drawing an assortment of level curves in the function's domain. Label each level curve with its function value. f(x,y) = 4x2 + 4y2 a. Which of the following surface graphs represents f(x,y) = 4x2 + 4y2? O A. В. Oc. y y b. Which of the following is the graph of the level curves of f(x,y) = 4x2 +4y?? %3D O A. В. С. 2. z=16 z=20 z=20 1/4 1 2 z=8 Xz=4 z=8
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