Agroup of fitness club members lose a combined total of 28 kilograms in 1 week . there are approximately 2.2 pounds in 1 kilogram . assuming the weight loss happend at a constant rate , about how many pounds did the group lose each day ?

Complete the truth table a. t, f, f, t b. t f f f c. f t f t d f t f t

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) = .

Simplify using positive exponents only.