1. 13.1 Vector Functions

2. f, g, & h are the component functions of vector r.
Vector Function:
f, g, & h are the component functions of vector r.

3. Ex 1:
Find the domain of r(t).

4. the limit exists, if the limit of each component exists.
Limits:
the limit exists, if the limit of each component exists.

5. Ex 2: Find the limit:

6. Ex 3: Discuss the shape of the curve. (Apply to matching section!)

7. Ex 4: Find a vector function that represents the intersection of the two surfaces.

8. HW: 13.1 pg # 1 – 12 all, # 13, 17, 19, 31