** Problem 1**

Use Maple for this Problem! Look at the graphs of the function for **-2<x <2, -2<y< 2** and

- a=1, b=0, c= 1,
- a=1, b=2, c= 1,
- a=1, b=4, c= 1,
- a=1, b=6, c= 1
- a=1, b=0 ,c= 4
- a=1, b=0, c = 6,

Explain!

** Problem 2**

Find functions whose graphs fit the descriptions below. Use Maple to print
graphs verifying your solution. Include axes in the graphs.

- A bowl which opens upward and has its vertex at 5 on the z axis.
- A parabolic cylinder opening upward from along the line
**y=x**in the**xy**plane. (A parabolic cylinder is the shape formed by extruding a parabola perpendicular to the plane in which it lies.) - A cone with circular cross section having a vertex in the plane
**z=5**and passing through the origin.

** Problem 3* (Extra Credit)**

Explain why level curves of

for function values either

- a)
- small (e.g. c = .1), or
- b)
- large (e.g. c = 10)

HINT: implicitplot(, color=red);