Optimization and integral help?
Hi guys, I'm trying to study for my exam from these practice problems and I don't know how to start. I was wondering if I can get some help. Thank you so much!
1. Three friends want to share a 12-inch diameter pizza equally by exactly only two parallel cuts. How far from the center must the cut be?
2. You are at the outermost point of a circular lake of radius 1mile. Your plan is to swim a straight course to another point on the shore of the lake, then jog to the northermost point. You can swim 75% as fast as you can jog. Under these conditions, (a) find the route you must take to maximize the time taken for this trip and find the time in minutes. (b) find the route you must take to minimize the time this trip will take, and find the time in minutes.