Section 13.1ppt

# Section 13.1ppt - variables in the plane by considering...

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Section 13.1 Introduction to Functions of Several Variables

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Examples: h r h r V y x y x f 2 2 2 ) , ( 4 4 ) , ( π = - - = ) 6 ln( ) , ( - = xy y x f
The graph of a function of two variables is the set of all points (x,y,z) for which z=f(x,y) and (x,y) is in the domain of f. Geometrically, this can be interpreted as a surface in space.

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You can also visualize functions of two
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Unformatted text preview: variables in the plane by considering level curves (or contour lines) along which the value of f(x,y) is constant. This method is often used in weather maps and in representing electric potential fields. Figure 13.7 and Figure 13.8 Alfred B. Thomas/Earth Scenes USGS...
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Section 13.1ppt - variables in the plane by considering...

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