List the roots of f(x) = 24x3 – 10x2 -7x + 2: a. -1/2, 1/4, 2/3 b. -1/2, 1/3, 1/2 c. -2/3, 1/2, 1/4 d. -2/3, 1/4, 2/3

The table represents a function f(x). what is f(3)? a.-9 b.-1 c.1 d.9

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) = .

How many grams the dog will eat in 3 days?