Use the function below: trig graph with points at 0, 1 and pi over 2, 5 and pi, 1 and 3 pi over 2, negative 3 and 2 pi, 1

What are the amplitude and midline?

Amplitude: 5; midline: y = 1
Amplitude: 5; midline: y = 0
Amplitude: 4; midline: y = 1
Amplitude: 4; midline: y = 0

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12