Functions of Several Variables: Examples

Find and simplify the following function values, (0,5), (2,-2), (t,-1/2), in the following equation: f(x,y) = xExp(y)

Anwser:

To do this, we assign the values to the proper variable, then type in the equation:

>	x:=0; y:=5;

>

x*Exp(y);

>	x:=2; y:=-2;

>

x*Exp(y);

>	x:=t; y:=-1/2;

>

x*exp(y);

2. Describe the level curves of the following funciton at the following k values:  z=x+y; k=-1,0,2

Anwser

To do this, we activate the Multvariable package in maple, and use the CrossSection command:

>	with(Student[MultivariateCalculus]);

>	CrossSection(x+y, z=[-1,0,2], x=-3..3, y=-3..3);

>