The force on a sailboat mast can be represented by the following function: f(2) = 200...

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The force on a sailboat mast can be represented by the following function: f(2) = 200 e-22/H 5+z where z = the elevation above the deck and H = the height of the mast. The total force F exerted on the mast can be deter- mined by integrating this function over the height of the mast: F = f(2) dz The line of action can also be determined by integration: H So" zf (z) dz d CH So" f(2) dz (a) Use the composite trapezoidal rule to compute F and d for the case where H = 30 (n = 6). (b) Repeat (a), but use the composite Simpson's 1/3 rule. %3D The force on a sailboat mast can be represented by the following function: f(2) = 200 e-22/H 5+z where z = the elevation above the deck and H = the height of the mast. The total force F exerted on the mast can be deter- mined by integrating this function over the height of the mast: F = f(2) dz The line of action can also be determined by integration: H So" zf (z) dz d CH So" f(2) dz (a) Use the composite trapezoidal rule to compute F and d for the case where H = 30 (n = 6). (b) Repeat (a), but use the composite Simpson's 1/3 rule. %3D