R(t) = integral of r'(t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t)k + c r(0) = j - k + c = i + j + k c = i + 2k Therefore, r(t) = (1/2t^2 + 1)i + e^tj + (te^t - e^t + 2)k
So he ate 50 in 12 minutes. There are 60 minutes in an hour. You want to divide 12 into 60 minutes. Multiply your answer on 5 times the number of Hog-Dogs. = 250 Hot-Dogs