1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that
satisfies the differential equation and the initial condition f(1)
= 12.
2.) An object moving on a line has a velocity given by v(t) =
3t^2 −4t+6. At time t = 1 the object’s
position is s(1) = 2. Find s(t), the object’s position at any
time t.