In: Math
. [4 pts] The temperature of a 4 foot metal rod at a point x feet from its left endpoint is given by T(x) = 1 + 3x 2 , 0 ≤ x ≤ 4, where T is measured in degrees Celsius (and x is measured in feet). Find the average temperature of the rod.
5. [6 pts] A particle moves along a coordinate line and has an acceleration given by a(t) = 4t+ 6 cm/sec2 . If the particle’s initial velocity is v(0) = −2 cm/sec, and its initial position is s(0) = 4 cm, find its position function s.