The number of households in a certain community is given by h(t) =
1.26t^2 +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)

Question

The number of households in a certain community is given by h(t) =
1.26t^2 +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)

anonymous · Answer

(a) number of households with a DVD recorder
(b) (i) h(3) = 1.26 times 9 + 7800. h'(3) = 5.5(3) +7800 and so on....

anonymous · Answer

The 7800 is gone after differentiation