1. y = B t - 1, x = t - 9 are the parametric equations of the curve
y = B t - 1, x = t - 9 are the parametric equations of the curve. y(x) = 10 x + 89 is the Cartesian equation of the same curve. Find B. Choose the answer from the following:
B = 4
B = 9
B = - 10
B = - 9
B = - 4
B = 10 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: 1.
{image} 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: 1.
Moves once clockwise along the circle {image} starting and ending at (0, 6).
Moves once counterclockwise along the ellipse {image} starting and ending at (0, 6).
Moves once clockwise along the ellipse {image} starting and ending at (0, 6). 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 = 10 cos t, y = 9 sin t, {image} x = 10 sin t, y = 9 cos t, {image}
Find parametric equations for the ellipse {image} Choose the answer from the following:
x = 10 cos t, y = 9 sin t, {image}
x = 10 sin t, y = 9 cos 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 = 23.9 s
t = s
t = 47.7 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