Use the relation for the following question: {(0,8),(1,4),(2, 2), (3,1), (4, 1/2), 5,1/4)}
What is the range?

Use the graph of the sine function y=2sinθ shown below

If you are just building your payment history, how many points from a perfect score will you possibly miss?

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) = .