stock a at 9am was $15.07. Since​ then, the price has been increasing at the rate of ​ 0.06 per hour. At noon the price of Stock B was $15.57. It begins to decrease at the rate of ​$.11 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

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) = .

What is the factor form of x^2-9x+14

Point r divides in the ratio 1 : 5. if the coordinates of e and f are (4, 8) and (11, 4), respectively, what are the coordinates of r to two decimal places?