19) For this problem, do the following two tasks: 1) Solve the initial value problem for s(t). 2) Assuming this function models the velocity of a particle on the x-axis, describe the motion of the particle from [-10, 10]. Be sure to include whether the particle is speeding up or slowing down and on what intervals. Justify your description using formal notation. Extra Credit Option: If you solve Step 1 implicitly using the fundamental theorem (instead of explicitly solving for C) you get 1 free point on the exam where each problem is worth one point. 100% correct notation is required. 19) y = 6t2 + 4t - 10; given s(0) = 10 19) 20) For this problem, do the following three tasks: 1) Estimate the zeros of the area function A(x) = ( f(t) dt for [-5,5] - 5 2) Estimate the points (if any) at which A has a maximum or minimum. Justify how you know this. 3) Sketch a graph of A for [-5,5] without a scale on the y-axis (because you do not know the initial value). 20) 20) of 13 - 12 - 11 - 10 9 8 1 6 5 4 10 11 12 13