# Solutions to Problem Set 8

Math 311-01/02

2-6-2018

1. Determine whether the given point lies on the surface .

(a) .

(b) .

(c) .

In each case, plug the x and y-coordinates into the surface equation and see if the result is equal to the z-coordinate. If it is, the point lies on the surface; if it isn't, the point does not lie on the surface.

(a)

The point lies on the surface.

(b)

The point lies on the surface.

(c)

The point does not lie on the surface.

2. Sketch the surface .

3. Sketch the surface .

4. Sketch the surface .

5. Sketch the surface .

6. Sketch the surface .

7. Sketch the surface .

8. Sketch the surface .

Not easy to achieve freedom without chaos. - Ana\"is Nin

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