A weight is attached to a rod by a spring. The weight is pulled down, and then released. From the moment of release, the weight’s height above the floor (in feet) can be modeled approximately by [math]h(t) = –0.75 • \cos (2\pi t) + 5[/math] from time [math]t = 0[/math] until [math]t = 4[/math] seconds. Use a calculator to determine, to the nearest tenth of a second, all the times during this time interval when the weight will be at a height of 5.6 feet, rounded to the nearest tenth.
[list=1] [*]Analyze the function to determine how many answers there are. [*]Use your calculator to determine the times that will produce a height of 5.6 feet. [*]State the answer in the context of the original problem. [/list]