9. Suppose an object is moving along a line, and its acceleration at time t is given by (12pts) a(t) = 6t -12, on the interval [0,5] if v(1) = 0 and s(2) = 0 a. Find the velocity function v(t) b Find the position function s(t ) which describes its position. c. When will the velocity equal 9? d. Find the velocity when the acceleration is zero. Show all work. Credit will not be given for just answers. 10. Use L'Hospital's Rule to find the exact value of the following limits.(20 pts) a. lim x+ 2x+3 b. lim xsin- x-1 x-700 c. lim(1 -2x) d. lim In x X- 1 1 1. Determine the following indefinite integrals. Check your work by differentiation.(16pts) a. (sec x - cosx)dx b. J(2e' + Ax Jax a fax - 2x d. ( 2x' + x )? dx