APFIVE Average Rate of Change for Parametric Functions
Which of the following is an example of a parametric function whose x-component can be used to compute an average rate of change over an interval?
TABLE:
| t | x(t)=t^2 | y(t)=sin(t) |
|---|---|---|
| 1 | 1 | sin(1) |
| 2 | 4 | sin(2) |
| 3 | 9 | sin(3) |
A
$$f(t) = (t,\ \sin(t))$$
B
$$f(t) = (t^2,\ \sin(t))$$
C
$$y = t^2$$
D
$$f(t) = (\cos(t),\ \sin(t))$$
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