1) A rocket burns up at the rate of 3 tons/min after falling out of orbit into the atmosphere. If the rocket weighed 5100 tons beforereentry, express its weight w as a function of the timet, inminutes, of reentry. (Write the weight of the rocket as the functionw(t).

2) f(x)=2x/2+1; find f(x+1)-[f(x)+1]=

3) Find the measure of the least positive angle that is coterminal with the angle given. Then find the measure of the negative angle that is nearest to and is coterminal with the angle given.

46degrees

The positive angle ? degrees.

4) By means of the definition of aradian, change the given angles in radians to an equal angle expressed in degrees.

1.373 rad

5) Find values of the trigonometric functions of the angle(in standardposition) whose terminal side passes through the given point.

(15,36)

6)

New T beam A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel support beam h = 44 feet in length is positioned in the center of the garage. To support the roof, another beam will be attached to the top of the center beam (see the figure). At what angle of elevation is the new beam? In other words, what is the pitch of the roof? T 20 1t 20 ft 40 ft What is the angle of elevation of the new beam? (Round to the nearest degree as needed.)