Measure and draw to show a blue crayon and a green crayon that is about 1 paper clip longer.

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

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) = .