The number of households in a certain community is given by h(t) = 1:26t² +7800 households t years after 2001. The proportion (expressed as a decimal) of the households in this same community that have DVD recorders is given by p(t) = 0:663/1+ 3781e^1:875t t years after 2001.

(a) What does C(t) = h(t)p(t) represent?

(b) Find and interpret the following:

i. h(3) and h'(3)

ii. p(3) and p'(3)

iii. C(3) and C'(3)