1. y = C t - 1, x = t - 6 are the parametric equations of the curve
y = C t - 1, x = t - 6 are the parametric equations of the curve. y(x) = 10 x + 59 is the Cartesian equation of the same curve. Find C. Choose the answer from the following:
C = 7
C = 10
C = 8
C = - 10
C = - 8
C = - 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Eliminate the parameter to find a Cartesian equation of the following curve: {image} , {image} Choose the answer from the following:
{image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Describe the motion of a particle with position (x, y) as t varies in the given interval {image} . {image} Choose the answer from the following:
Moves once clockwise along the circle {image} starting and ending at (0, 3).
Moves once clockwise along the ellipse {image} starting and ending at (0, 3).
Moves once counterclockwise along the ellipse {image} starting and ending at (0, 3). 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. x = 7 sin t, y = 8 cos t, {image} x = 7 cos t, y = 8 sin t, {image} 1.
Find parametric equations for the ellipse {image} Choose the answer from the following:
x = 7 sin t, y = 8 cos t, {image}
x = 7 cos t, y = 8 sin t, {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. If a projectile is fired with an initial velocity of {image} meters per second at an angle {image} above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations {image} , where g is acceleration of gravity ( {image} ). If a gun is fired with {image} and {image} , when will the bullet hit the ground? Choose the answer from the following:
t = 36 s
t = 72 s
t = s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50