Oil is pumped into a tank at a rate modeled by
R(t)= 3 cos (pi*t) + 5 measured in gallons/min. If there are
30 gallons in the tank when the pump starts and no oil is
being removed, how many gallons are in the tank after 102 seconds
seconds?

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent.the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244