Consider the following vector function. r(t) = 4t^2, sin(t) − t cos(t), cos(t) + t sin(t), t > 0(a) Find the unit tangent and unit normal vectors T(t) and N(t).

The tuition costs, c, for a local community college are modeled by c(h) = 250 + 200h, where h represents the number of credit hours taken. the local state university has tuition costs, s, modeled by the function s(h) = 300 + 180h. how many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

700 miles the train takes 5 hours to a travel the distance at what unit rate is the train traveling?

Which has the greater energy, light of wavelength 519 nm or light with a frequency of 5.42 x 10^8 sec^-1?