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Functions of Several Variables
Constructing Functions of Several Variables
• The temperature at points in the xy-plane is proportional to the square of the distance of the point to the origin. Write the temperature as a function of x and y.
Constructing Functions of Several Variables
• The ideal gas law states that the pressure of a gas is proportional to its temperature and inversely proportional to its volume. Write a function that represents the pressure of a gas in terms of its temperature and volume.
Graphs of Functions of Several Variables
)y,x(f,y,x
z
y
x
0,y,x
Examples
Combinations of Functions
Level Curves of Graphs
Examples
Level Curves
Surfaces
Level Surfaces
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