Hello, fifthrapiers!

Here's some help . . .

1) Given: . . . Find

Both are unit circles, centered at the origin.3) Let and

(a) What does the graphs of and look like?

Consider: .(b) Suppose the graphs of two vector-valued func. and are the same,

. . .then must ? . no

When

. . . . . different derivatives

Explain whether this is a new result,

or was it also true for functions and ?

This is a new result.

With rectangular functions, and ,

. . if their graphs are identical, then the functions are identical.

. . Hence, their derivatives are equal.

With parametric functions, a graph can be generated in a number of ways.

. . As seen in part (b), their derivatives need not be equal.