1.
Consider the parameterization x = f (t ), y = g (t ) 0 ≤ t ≤ M where M is a constant greater than zero. Which of the following is the parameter ? -> x
True
False

2.
The point (4, 32) is on the graph of which set of parametric equations? ->
True
False

3.
Which of the following points is on the graph of the parametric equations

for t ≥ 0 ? -> (5, -1)
True
False

4.
Determine which picture best represents the graph of the parametric equations x = 2t ^{2 } and y = t ^{2} /2 for -4 ≤ t ≤ 4. ->
True
False

5.
Which of the following options are parametrizations of the unit circle?

I. x = cos t , y = sin t , 0≤ t ≤ 2π

II.

III.

IV.

-> (I) and (IV)
True
False

6.
Determine which set of parametric equations traces the unit circle clockwise exactly once for 0≤ t ≤ 3π, starting at the point (1,0) when t = 0.

->
True
False

7.
All the following sets of parametric equations produce the same line, except for one. Which set of equations does not produce the same line as the others? -> x = -6 + 6t , y = 2t

True
False

8.
Which parameterization produces the ray shown below?

-> x = -2 + 2t , y = -3 + 3t , t ≥ 0

True
False

9.
With the "usual" parameterization of the unit circle, x = cos t , y = sin t , which bounds on t are needed to trace exactly half the circle? -> 0 ≤ t ≤ 2π

True
False

10.
Parameterize the line segment between the points (2, 4) and (5, 8). -> x = 2 + 5t , y = 4 + 8t , 0 ≤ t ≤ 1

True
False