1. Find the particular solution of the differential equation determined by the initial conditions: d z x dx = 4(1 + 3y)' ;x=-1 and =-2 when y =-1 dy dy 2. A particle is moving along a line in such a way that if v centimeters per second is the velocity of the particle at t seconds, then v =9 sin(3xt), where the positive direction is to the right of the origin. If the particle is at the origin at the start of the motion, find its position at 4.8 seconds. 3. A stone is dropped from the top of the Washington Monument 555 ft high. (a) How long will it take the stone to reach the ground, and (b) with what speed will it strike the ground