The force (in pounds) on a person's back when he or she bends over at angle (in degrees) is modeled by
where is the person's weight (in pounds).
a) Simplify the model.
Would it just be since ?
b) Use a graphing utility to graph the model, where and .
This is done.
c) At what angle is the force a maximum? At what angle is the force a minimum?
The angle is at a maximum at 0 and 360 degrees and minumum at 180 degrees. Does that seem right? Because at 180 degrees is negative.
I have also attached a picture of the original problem.