(need a. s.a. p 15 pts)scientists believe there is a link between ambient temperature and damage to a head gasket on a car. they perform a study recording daily temperature and the damage index to a head gasket on a car. what is the domain?
a) temperature b) type of car c) damage index d) mileage on car

Simplify the expression and find the missing terms. the simplest form of has in the numerator and in the denominator.

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) = .

Find the maximum value of p= 4x + 5y subject to the following constraints :