Chapter Topics in Vector Calculus .. Since they cost more, we diminish their sizes in the solution, and the cans become taller. (c) r ≈ cm, h ≈ Find Howard Anton solutions at now. Calculus Early Transcendentals Single Variable, Student Solutions Manual 9th Edition Problems. Access Calculus 10th Edition solutions now. Our solutions are written by Chegg experts so you can be assured of the highest quality!.

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Even if the ant stops and the rope continues to be stretched, this proportion will not decrease and will in fact remain constant as the ant travels together with the point on the rope where the ant stopped because the rope is stretched uniformly.

Raja Atif rated it it was amazing Apr 09, Fooler soltions currently reading it Mar 16, Once the ant has begun moving, the rubber rope is stretching both in front of and behind the ant, conserving the proportion of the rope already walked by the ant and enabling the ant to make continual progress.

Mamoonachohan rated it it was amazing Oct 23, Answered Oct 15, The key fact is that the ant moves together with the points of the rope when the rope is being stretched.

Early Transcendentals, Single Variable, 10th edition. At any given point of time we can find the proportion of the distance from the starting-point to the target-point which the ant has covered. There are no discussion topics on this book yet.

However, the metric expansion of space is accelerating.

### Calculus: Solutions Manual: A New Horizon: : H Anton: Books

Amanda Baereleo marked it as to-read Aug 10, CalculusTenth Edition excels in increasing student comprehension and conceptual understanding of the mathematics. Kindle EditionTenth Editionpages. If the rope is stretched with constant speed, these increments in proportion get smaller over time, but form a converging zolutions series.

Farjad added it Mar 21, Mar 23, Naufil Ali rated it liked it. See and discover other items: If you are a seller for this product, would you like to suggest updates through seller support?

### Calculus Early Transcendentals Single Variable–Student Solutions Manual by Howard Anton

Malik Asia rated it did not like it Oct 11, Still have a question? Atia rated it liked it Sep 15, Write a customer review. Malek added it Sep 23, However, if we add all these fractions, we will get a part of the harmonic serieswhich diverges. No marked it as to-read Feb 12, Unlimited One-Day Delivery and more. Miya marked it as to-read Sep 18, Although solving the problem appears to require analytical techniques, it can actually be answered by a combinatorial argument by considering a variation in which the rope stretches suddenly and instantaneously each second rather than stretching continuously.

Rakib Mahdi marked falculus as to-read Mar 05, Putu Agun rated it it was amazing Feb 19, Therefore, given sufficient time, the ant will complete the journey to the target-point. Learn more about Amazon Prime.

## Ant on a rubber rope

Indeed, the problem is sometimes stated in these terms, and the following argument is a generalisation of one set out by Martin Gardneroriginally in Scientific American and later reprinted. A marked it as to-read Oct 30, Archived from the original on 24 April Shani Khan is currently reading it Dec 04, Aug 04, Provat rated it it was amazing.

The universe is expanding, which leads to increasing distances to other galaxies, and galaxies that are far enough away from us will have an apparent relative motion greater than the speed of light. At first consideration it seems that the ant will never reach the end of the rope, but in fact it does.

This article may be too technical for most readers to claculus. If the rope initially is 1 km long and is stretched by 1 km per second, we can make marks that are initially 5 mm apart along the whole rope.