Name Section 1) Evaluate the following. R8 a) 1 3 x 2 dx b) R 4+u2 u3 dx 2) Beginning at t = 0, a particle starts moving in a straight line with an initial velocity of 4 m/s and an acceleration a(t) = 3 t m/s2 . Find the distance traveled after 25 seconds. (Hint: First find the distance formula. What is the initial position?) Rx 3) If F (x) = 1 Calculus part 2) f (t) dt, where f (t) = R t2 1+u4 1 u du, find F 00 (2). (Hint: Use the Fundamental Theorem of 4) Water is drained from the bottom of a storage tank at a rate of r(t) = 200 4t liters per minute, where 0 t 50. Find the amount of water that flows from the tank during the first 10 minutes