Directions: Please answer the following question in complete
sentences and show ALL work. Question: The surface area of a star
goes through an expansion phase prior to going supernova. As the
star begins expanding, the radius becomes a nonconstant function of
time. Suppose the function is r(t) = 1.36 t + .002, where t is in
days and the radius r is measured in gigameters (Gm).

(a) Find the radius of the star three days after the expansion
phase begins.

(b) Find the surface area of the star after three days.

(c) Express the surface area as a function of time by finding
h(t) = (S ◦ r)(t). (d) Use h(t) to compute the surface area after
three days directly. Does it agree with your answer from part
(b)?