u are on a 4-week vacation, you will play at least one set of tennis matches each day, but you wouldn’t play more than forty sets total during this time. Prove that no matter how you distribute your games during the four weeks, there is a span of consecutive days during which you

u are on a 4-week vacation, you will play at least one set of tennis matches each day, but you wouldn’t play more than forty sets total during this time. Prove that no matter how you distribute your games during the four weeks, there is a span of consecutive days during which you

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that your schedule for next semester must consist of one natural science class, one liberal arts class, one humanities class, and one physical science class. How many ways can you make up your schedule if you can choose from 3 natural science classes, 4 liberal arts classes, 6 humanities classes and 3 physical science classes?
a store can stock a maximumof 210 of tires, hubs and car seats. they know from past experience that they should stock twice as many tires as hubs and at least 30 seats.. each tire sells for $450, each hub sells for $2000 and each seat sell for $750,how many of each should be stocked and sold for maximum revenue? what is the maxiumum revenue?
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Last year Matthia's uncle worked for the ducks. therefore, matthias attended more home ducks games than paco. In fact, mattias went to one more than twice the home games paco did. If the two of them attended a total of at least 58 home games, how many games might paco and matthias actually have attended last year?
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10 boxes containing the same number of balls were in the store at the beginning of the day. During the day the number of balls sold from the second box was two times greater than the number of balls from the first box, the number of balls sold from the third box was three times greater than the number of balls sold from the first box, and so on. Finally, the number of balls sold from the tenth box was ten times greater than the number of balls sold from the first box, and in that last box, there was only one ball left. The total number of balls left in all boxes is 370 . How many balls were in each box at the beginning of the day?
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