A hemisphere on top of a cylinder is shown. The height from the bottom of the cylinder to the top of the hemisphere is h. The hemisphere and the cylinder have the same radius, r.
Which expression represents the volume, in cubic units, of this three-
dimensional object?

If a baby uses 15 diapers in 2 days how many diapers will the baby use in a year

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

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) = .