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So far, we have represented surfaces in space by equations of the form: This is called a function of x and y in Today we will use the more general representation: If we are given z = f(x, y), then we can define Fas: form. We then write F(x, y, z) = surface for F. = 0. Then we can consider the surface to be a Example 1: Describe the level surface given by F(x, y, z) = 0 for the function given by: F(x, y, z) = x² + y²+z²-4

So far, we have represented surfaces in space by equations of the form: This is called a function of x and y in Today we will use the more general representation: If we are given z = f(x, y), then we can define Fas: form. We then write F(x, y, z) = surface for F. = 0. Then we can consider the surface to be a Example 1: Describe the level surface given by F(x, y, z) = 0 for the function given by: F(x, y, z) = x² + y²+z²-4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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Calculus III

May I please have the example, definition semicolons, and all blanks completed and solved?

Thank you so much,

So far, we have represented surfaces in space by equations of the form: This is called a function of x and y in Today we will use the more general representation: If we are given z = f(x, y), then we can define Fas: form. We then write F(x, y, z) = surface for F. = 0. Then we can consider the surface to be a Example 1: Describe the level surface given by F(x, y, z) = 0 for the function given by: F(x, y, z) = x² + y²+z²-4
Transcribed Image Text:So far, we have represented surfaces in space by equations of the form: This is called a function of x and y in Today we will use the more general representation: If we are given z = f(x, y), then we can define Fas: form. We then write F(x, y, z) = surface for F. = 0. Then we can consider the surface to be a Example 1: Describe the level surface given by F(x, y, z) = 0 for the function given by: F(x, y, z) = x² + y²+z²-4
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