Math 151 WIR wk 2 1.3-2.3

1. Eliminate the parameter and sketch the graph of the curve parameterized by ,.

2. Eliminate the parameter and sketch the graph of the curve parameterized by

3. Find vector and parametric equations of the line passing through the points (3,1) and (7,4).

4. Determine whether the lines parameterized by x=2-t, y=1+2t and

r(t)=(5+6s)i + (-1+3s)j are parallel, perpendicular or neither. If not parallel, find their point of intersection.

5. Determine or show the limit does not exist.

6.

7. Compute or show the limit does not exist.

8. Compute the limit or show it does not exist.

a)

b)

c)

9. Compute or show the limit does not exist.

10. Compute or show the limit does not exist.

11. Compute or show the limit does not exist.