1. An object moving in a straight line with an initial velocity of 40-40 m/s undergoes an acceleration of a(t)=-6t+8 m/s2m/s2, t seconds after an experiment begins. The velocity of the object after t seconds is v(t)= m/sm/s The position of the object after t seconds is s(t)= mm from the starting point.

2. An object with an initial velocity of 3030 m/s undergoes an acceleration of a(t)=-12t-6 m/s2m/s2, t seconds after an experiment begins. The velocity of the object after t seconds is v(t)= m/s

3. A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by D'(x)=5000/x2 where x is the price per unit, in dollars. Find the demand function if it is known that 503 units of the product are demanded by consumers when the price is $10.00 per unit. D(x)D(x) =

4. Suppose f''(x)=54x+8 f'(1)=29 and f(1)=3 Then f(x)=