Point) a tank in the shape of an inverted right circular cone has height 5 meters and radius 4 meters. it is filled with 4 meters of hot chocolate. find the work required to empty the tank by pumping the hot chocolate over the top of the tank. the density of hot chocolate is δ=1080 kg/m3. your answer must include the correct units.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".