Notes - 7.1, 7.2 - Power Point

Notes - 7.1, 7.2 - Power Point - Slide 1 Functions of...

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Unformatted text preview: Slide 1 Functions of Several Variables Survey of Calculus Section 7.1 Slide 2 Function of Two Variables A function f of two variables is a rule such that to each ordered pair (x,y) in the domain of f there corresponds one and only one number f(x,y). If the domain is not stated, it will be the largest set of ordered pairs for which the function is defined. Slide 3 Example # 6, p. 542 Find the domain of y x y x f ln ) , ( = Slide 4 Exam ples To evaluate a function of more than one variable you simply plug in appropriate values. # 12 # 20 ) , ( ), ln( , ( 2 3 o e g find y x y x g- = ) 1 , 1 , 1 ( , ) , , (-- + + = f find ze ye xe z y x f x x y Slide 5 Surfaces Graphs of functions of two independent variables are called Surfaces in three-space. Examples: Slide 6 Why do we need functions of several variables? Because many times we need to find quantities that depend on more than one thing....
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This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.

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Notes - 7.1, 7.2 - Power Point - Slide 1 Functions of...

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