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) (the t is apart of the 1.875 in the exponent) years after 2001.

Find the following:
what does c(t)=h(t)p(t) represent

i) h(3) and h'(3)
ii)p(3) and p'(3)
iii)C(3) and C'(3)

Question

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) (the t is apart of the 1.875 in the exponent) years after 2001.

Find the following:
what does c(t)=h(t)p(t) represent

i) h(3) and h'(3)
ii)p(3) and p'(3)
iii)C(3) and C'(3)