Points, Vectors, and Functions True or False

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 = 2t²and y = t²/2 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

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