Melissa estimated the length of a room is her house to be 13 ft . The actual length of the room is 11 ft. Find the absolute error and the percent error of Melissa's estimate. If necessary, round your answers to the nearest tenth.

Which expressions are equivalent to -6 + 3m

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) = .

Describe a situation that you could represent with the inequality x< 17