The force f (in newtons) of the hydraulic cylinder in a press is proportional to the square of sec x where x is the distance (in meters) that the cylinder is extended in its cycle. the domain of f is [0, pi/3], and f(0) = 500.
a) find f as a function of x.
f(x)=
b) find the average force exerted by the press over the interval [0, pi/3] (round your answer to 1 decimal place)
f=