Looks good to me. Using l'hopital leads to using FTC which you seem to have gotten so that's good.

Sorry if I'm just doing random questions but I don't have time to go through everything in one sitting and just picking random ones I see.

**2.** That looks good to me as well. I'm not sure if you have to prove it or not but you could probably do it with induction.

**1.** Let the triangle have sides x, y, and h. So:

Now, by the Pythagorean theorem:

. Since we're dealing with

, let's square P as well:

Now you should be able to group the right side into terms of P and h. AFter that, solve for h.