This project has 4 parts. All plots need your name as part of the title.

Part 1. A plot of the surface x^2+y^2+z^2=49 and its tangent plane at
(6,2,3) include (labeled) axes. The tangent plane needs to show as a
plane (that is, do not pick a view where it is a line.) [The normal to
the tangent plane is given by grad F.]

Part 2. A 3D gradient plot of x^2+y^2-z^2 with (labeled) axes and with
the graph oriented in a readable manner. [maple has gradplot and
gradplot3d, mathematica has PlotGradientField and PlotGradientField3D.]

Part 3. A 2D plot which shows both the gradient and the level surfaces
of f(x,y) = x^2 - y^2 on the same graph (see help below on how to do
this.)

Part 4. Repeat part 3 on the function from project 1.
g(x,y)= 3*(1-x)^2*exp(-x^2-(y+1)^2)
	- 10*(x/5-x^3-y^5)*exp(-x^2-y^2) -(1/3)*exp(-(x+1)^2-y^2)


maple: To combine two 2D plots try:

a:=gradplot(x^2+y^2,x=-5..5,y=-5..5):
                                    ^ note the : and not ; try it both ways.
b:=implicitplot(x^2+y^2=16,x=-5..5,y=-5..5):
display({a,b}); <- back to semi-colon.

mathematica: To combine two 2D plots try:

<<"Graphics/PlotField.m"
a=PlotGradientField[x^2+y^2,{x,-5,5},{y,-5,5}];
b=Plot[x,{x,-5,5}];
Show[a,b]