Force The force F (in newtons) of a 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, 1/3], and F(0) = 500. (a) Find F as a function of x. (b) Find the average force exerted by the press over the interval [0, 1/3].

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