Match the graphs of the parametric equations x = f(t) and y = g(t) in (a) - (d) with the parametric curves labeled I-IV.

I

II

III

IV

(a)
1 ---Select--- I II III IV
(b)
2 ---Select--- I II III IV
(c)
3 ---Select--- I II III IV
(d)
4 ---Select--- I II III IV

From the graph of g, state the intervals on which g is continuous. (Select all that apply.)

For the function g whose graph is given, state the following. To type or -, enter INFINITY or -INFINITY.

(a)

Enter a number.

1

(b)

Enter a number.

2

(c)

Answer is not case sensitive.

3

(d)

Answer is not case sensitive.

4

(e)

Answer is not case sensitive.

5
(f) The equations of the asymptotes. (Select all that apply.)

6

x = -3 x = -2 x = 0 x = 2 x = 3 y = -3 y = -2 y = 0 y = 2

Differentiate the function.

R(t) = 7t ^-3/7

R '(t) =

Enter a mathematical expression.

1

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 25 ft/s.

(a) At what rate is his distance from second base decreasing when he is halfway to first base?

Enter a number.

1 ft/s
(b) At what rate is his distance from third base increasing at the same moment?

Enter a number.

2 ft/s