1. Consider the curve defined by

x = 2t - 1 andy = 2 - t, for-5 t 3.

Find an equation in x and y whose graph includes the graph of the given curve.

a. y = -(1/2)x^2 - 1

b. y = -(1/2)x + 2

c. y = 1/2x + 8

d. y = -(1/2)x + 3/2

2. Consider the curve by

x = t - 4 and y = t^2 + 3, for -3 t 4.

Find an equation in x and y whose graph includes the graph of the given curve.

a. y = x^2 + 8x + 19

b. y = x^2 + 19

c. y = x^2 + 8x + 16

d. y = x^2 + 6x + 3

3. A particle moves in the xy plane so that at any time0 t 4,

x = 3 cos t and y = t^2 + 3 sin t + 5.

What is the vertical component of the particle's location when it's horizontal component is 1?

a. y = 8.51

b. y = 1.05

c. y = 8.69

d. y = 4.27

4. A particle moves in the xy plane so that at any time-2 t 1,

x = 5 sin t andy = t^2 - 3 cos t - 1.

What is the vertical component of the particle's location when it's horizontal component is 3?

a. y = 3.21

b. y = -2.99

c. y = 0.64

d. y = -3.31