A particle is moving along the x - axis so that it's velocity during times 0

A particle is moving along the x - axis so that it's velocity during times 0 s t 10 is given by function { t In(4) t(t 4)(t 6) 1) On what time interval is the particle moving to the left. Write your answer in interval notation [ [ ( [ ( 2) On what time interval is the particle speeding up? Write your answer in interval notation L), [ ( [ ( 3) Find the average acceleration on interval from 2 t 3. You can use AROC or use the new "average value." If you use the latter, you must write any integral before typing it. 4) Find the displacement of particle during the time interval 1 t 5. Write the integral before typing your answer. 5) Find the total distance the particle traveled on time interval 6) If the particle is initially at x = 10 when time t =1, find the final position of the particle at t = 5.