The velocity of a particle at time x seconds is given by the function f’(x), where f’(x) is measured in centimeters per second. Values of f’(x) for selected values of x are given in the table above, and it can be shown that f(0) = 5.6  a. Use the data in the table to approximate f(x) over the interval [2,6] using Simpson’s rule using one subinterval. Include the correct unit, interpret the meaning of our answer in the context of this problem. b. Using the approximation from part (a) to approximate f(6). c. Find the trinomial function that used to approximate f(x)

The velocity of a particle at time x seconds is given by the function f’(x), where f’(x) is measured in centimeters per second. Values of f’(x) for selected values of x are given in the table above, and it can be shown that f(0) = 5.6 

a. Use the data in the table to approximate f(x) over the interval [2,6] using Simpson’s rule using one subinterval. Include the correct unit, interpret the meaning of our answer in the context of this problem.

b. Using the approximation from part (a) to approximate f(6).

c. Find the trinomial function that used to approximate f(x)