A mathematician stands on a beach with his dog at point A. He throws a tennis ball so that it hits the water at point B. The dog, wanting to get to the tennis ball as quickly as possible, runs along the straight beach line to point D and then swims from point D to point B to retrieve his ball. Assume C is the point on the edge of the beach closest to the tennis ball.a. Assume the dog runs at speed r and swims at speed s, where r is greater than s and both are measured in meters/seconds. Also assume the lengths of BC,CD,and AC are x,y,and z, respectively. Find a function T(y) representing the total time it takes the dog to get to the ball.b. Verify that the value of y that minimizes the time it takes to retrieve the ball is y=x/squareroot(r/s +1) x squareroot(r/s-1)you can find the original article that inspired this problem at http://www.maa.org/sites/default/files/pdf/features/elvisdog.pdf.
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more