Calculus
posted by help :) on .
Spud McTator climbs his sailboat's mast while anchored. He fires his potato gun. The height of the potato above the ocean is given by: h=0.002X*2+2X=22. Where X is the horizontal distance from the keel of the boat. How far from the keel is the height of the potato a maximum? Find the maximum height of the potato.

I assume you mean
h = 0.002x^2 + 2x + 22
however, that makes no sense, since the height will be forever increasing. Perhaps you meant
h = .002x^2 + 2x + 22
That would indicate the potato was fired from a height of 22 at a velocity of 2. Must be on an asteroid, though, since the downward acceleration is so small.
Anyway, using the above equation, we have roots at 10.88 and 1010.88, making the midpoint at x=500.
h(500) = 522
If I made bad assumptions, fix them and plug in your numbers.