Question

1. for what values if x does the graoh of f(x)=6x^3-45x^2+72x+36have a horizontal tangent? wnter the x values inorder, smallestfirst, to 4 places of accuracy. x1= less then equaltox2

7. let f(x) = 3x^6sqaure root of x + (-5/x^2 sqaure root of x)f ' (x) =

12. a particle moves along a straight line and its positionattune t is given by s(t) = 2t^3 - 18t^2+30t where s is measures infeet and t in seconds. find the velocity (inft/sec) of the particleat time t = 0; ???

the particle stops moving ( i. e is in a rest) twice, oncewhent = A and again when t = B where A<B. A is ?? and Bis???

what is the position of the particle at time 12?

finally, what is the total distance the particletravelsbetween time 0 and time 12?