6. A particle is moving with acceleration a(t) = 181 + 14. Its position at time t = 0 is s(0) = 9 and its velocity at t = 0 is v(0) = 5. a. (2 pts) Find the velocity function for the particle, (t). b. (2 pts) Find the position function for the particle, s(t). c. (1 pts) Determine the velocity and position of the particle at time t = 12. 7, Given f (x) = 4x2-3, a) (3 pts) Find the Left Endpoint Approximation for f(x) over [2,6] using 4 subintervals, b) (3 pts) Find the Right Endpoint Approximation for f(x) over [0,3] using 6 subintervals