The force on a sailboat mast can be represented by the following function: f(z) = 200 (z/5 + z)e^ - 2z/H where z = the elevation above the deck and H = the height of the mast. The total force F...

The force on a sailboat mast can be represented by the following function: f(z) = 200 (z/5 + z)e^ - 2z/H where z = the elevation above the deck and H = the height of the mast. The total force F exerted on the mast can be determined by integrating this function over the height of the mast: F = integral ^H_0 f(z) dz