Imagine you are painting a series of towers built from cubes. You are going to paint only the exposed faces of the tower. Which of the following describes how you might paint a four-story tower?

The sales totals at macy's food store have increased exponentially over the months. which of these best shows the sales in the first three months?

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) = .

Which of the following expressions cannot be simplified to x – 2?