Three circles of unit radius and centered at $\left ( 0,1.5 \right )$, $\left ( 0,-1.5 \right )$, and $\left ( 2,0 \right )$ are shown in dark blue color in the attached figure. The set of all circles that are tangent to all three of the given circles are drawn. What is the radius of the second largest such circle?
This is a relatively simple model of jellyfish motion.
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Inside a rectangular room, measuring 30 feet in length and 12 feet in width and height, a spider is at a point on the middle of one of the end walls, 1 foot from the ceiling, as at A; and a fly is on the opposite wall, 1 foot from the floor in the center, as shown at B. What is the shortest distance that the spider must crawl in order to reach the fly, which remains stationary? Of course the spider never drops or uses its web, but crawls freely.
Calculus Humor is going to be hosting a March Madness bracket challenge! The winner will get his or her name listed on the site! The challenge will be powered by CBS Sports. You can sign up and submit your picks at http://calchumor.mayhem.cbssports.com/e. May the odds be with you!
The total score of the Championship game.
You can have up to 3 brackets per user.
You know the drill, pick your teams and have fun! The winner will have his or her name featured on Calculus Humor's website (www.CalculusHumor.com)
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