Isaac is on the swim team, and he is training for an upcoming race. He swims across a 50-meter pool in 3/5 of a minute. At this rate, how far can Isaac swim per minute?

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

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) = .

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?