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Taking the square root of y will result in a plus/minus, and discarding the minus erases the lower half of the ellipse. The long axis extends horizontally, and the short axis extends vertically. The x and y axis bisects the ellipse already, so both a and B. are available: 525' and 350'.
The width of the channel is, once again, determined by inputting a known point.

Hence, the semi-elliptic bridge allows 315 ft of clearance from the centerline, or 630 ft in all.

If the river flooded, the tanker would sit 10 ft higher and would, hence, have only the clearance available at 290 ft. For the parabola:

For the...

The semi-ellipse would alter slightly more, from 630ft to 588ft. While the semi-ellipse still offers better clearance, the parabolic architecture shows a greater resilience for changes in water level. This could be an advantage as tanker's would not be required to check clearance distances before passing under the bridge, but the semi-elliptical architecture demonstrates a great overall clearance, and, all other considerations aside, would likely be the choice of architecture for a bridge over East River.

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Being able to "crunch the numbers" is an essential part of the manager's role. Too often managers feel uncomfortable working with numbers because of their limited mathematical background. This reduces their usefulness, however. Strong managers are not intimidated by the numbers, but rather view them as an essential component of the job. Therefore, part of the process of studying business management is to build the set of tools that

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(Hilton, 26) in general, no mathematician would be willing to accept the solution to a problem without some sort of proof, and in the same way, no student of calculus would be ready to accept the resolution of a problem without the necessary proof. (Cadena; Travis; Norman, 77) It must be stated that Newton's mathematics that involved 'fluxions' was one of the first forms of the area defined as 'differential

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Calculus and Definitions of Its Concepts Indefinite integration Indefinite integration is the act of reversing any process of differentiation. It is the process of obtaining a function from its derivative. It is also called anti-derivative of f. A function F. is an anti-derivative of f on an interval I, if F'(x) = f (x) for all x in I. A function of F (x) for which F'(x)=f (x), this means that for

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Nevertheless, an individual may prefer to have this type of calculus removed for other reasons or otherwise as part of a long-term treatment regimen. For example, Bennett and Mccrochan note that, "When the American Dental Association later approved Warner-Lambert's mouthwash, Listerine, by stating that 'Listerine Antiseptic has been shown to help prevent and reduce supragingival plaque accumulation and gingivitis. . ., ' sales rose significantly" (1993:398). It remains unclear,

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Mamikon even takes this simple observation about curves to establish a new relationship between the tractrix and exponential curves (Apostol & Mamikon 2002). Mamikon's visual understanding and explanation of calculus is not limited to two-diemnsional curves, nor does he concern himself only with new insights into mathematical relationships. In another paper, again published with Apostol, Mamikon established new proofs for Archimedes' discoveries concerning polyhedrons and their circumscribing prisms (Apostol &

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Derivatives and Definite Integrals Word Count (excluding title and works cited page): 628 Calculus pioneers of the seventeenth century such as Leibniz, Newton, Barrow, Fermat, Pascal, Cavelieri, and Wallis sought to find solutions to puzzling mathematical problems. Specifically, they expressed the functions for derivatives and definite integrals. Their areas of interest involved discussions on tangents, velocity and acceleration, maximums and minimums, and area. This introductory paper shall briefly introduce four specific questions