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, π/3], and F(0) = 700.

Step-by-step explanation:

If the the force F is proportional to the square of sec x, the force F is equal to:

Where k is a constant.

Now, to find k, we are going to use:

So, if we replace x by 0 on the first equation, we get:

It means that k is equal to 700, so F as a function of x is equal to:

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step-by-step explanation:

this is answer of 144 cubic meters