The one I get wrong, and all the blank one please.

The position of a particle moving along the x-axis is given by x(t) = t3 + 9t2 211' with t E [0, 2]. (a) Find the velocity and acceleration of the particle. 322+182 21 \\/ acceleration a(t) = 61+ 18 J (b) For what tvalues is the velocity 0? (Enter your answers as a comma-separated list.) velocity v( t) t=1 J (c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.) [021) J When is the particle moving to the right (velocity is positive)? (Enter your answer using interval notation.) (1,2] J (d) What is the farthest the particle gets to the left? x = 1 x What is the farthest the particle gets to the right? Fifi, 4 Consider the polynomial function f(x) = x 3x3 + 3x2 whose domain is (no, no). (a) Find the intervals on which fis increasing. (Enter you answer as a comma-separated list of intervals.) (0700) X Find the intervals on which fis decreasing. (Enter you answer as a commaseparated list of intervals.) (0010) x Consider the function f(x) = x1/3(x + 2)\"3 whose domain is (co, no). (a) Find the intervals on which fis increasing. (Enter you answer as a comma-separated list of intervals.) (0:00) X Find the intervals on which fis decreasing. (Enter you answer as a comma-separated list of intervals.) (b) Find the open inten/als on which fis concave up. (Enter you answer as a comma-separated list of intervals.) Find the open intervals on which fis concave down. (Enter you answer as a comma-separated list of intervals.) (c) Find the local extreme values of f. (Round your answers to three decimal places.) ocal minimum value ocal maximum value (d) Find the global extreme values of fon the closed, bounded interval [3, 2]. (Round your answers to three decimal places.) global minimum value global maximum value (e) Find the points of inflection of f. (If an answer does not exist, enter DNE.) (X. f()0) = ( )