The equation yˆ=31314⋅1.06x estimates the population of a town x years after the year 1995.

What is the estimated population of the town in the year 2000?

33,193
39,533
41,905
44,420

Does the point (1, sqrt 7) lie on circle shown.

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) = .

Bring the fraction a/a-4 to a denominator of 16-a^2