Find the product. (0.5n^5)^2(10n^7)^3

Hello i need some with trigonometric substitutions. [tex]\int\limits^a_b {x} \, dx[/tex]

What is the range for 31,39,29,34,37,24,36,33,34,28

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) = .