The asymptotes of the function f(x) = arctan x are located at y = -(/2) and y = /2.

What are the locations of the asymptotes of the transformed function defined by g(x) = 4arctan (-2/3x) + 7?

a. y = 4 + 7 and y = -4 + 7

b. y = 2 + 7 and y = -2 + 7

c. y = -7 = 4 and y = 7 + 4

d. y = /4 + 7 and y = -/4 + 7

A ferris wheel has a radius of 30 m. Its center is 31 m above the ground. It rotates once every 40 s. Suppose you get on the bottom of t = 0. Write an equation that expresses your height as a function of elapsed time.

a. h = 30 cos[2((t-20)/40)] + 31

b. h = 31 cos[2((t-40)/40)] + 30

c. h = 31 cos[2((t-20)/40)] + 30

d. h = 30 cos[2((t-20)/40)] + 1

At a seaport, the depth of the water during the day can be found using the equation

h = 6.0 cos(2((t-8)/12.4)) + 14

where h is the depth of water in feet and t is the number of hours after midnight.

At 8:00 pm what will be the water's height?

a. 10.40 feet

b. 15.23 feet

c. 19.88 feet

d. 19.77 feet