Mathematical Questions and Solutions

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F. Hodgson., 1887
 

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Pàgina 27 - If the velocity of a carriage along a road is proportional to the cube of the cosine of the inclination of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and shew that it consists of the spherical curve described by a point of a great circle which rolls on a small circle described about the pole with a radius ^, together with an arc of a great circle.
Pàgina 129 - ... 7761. A flexible string is suspended slackly from two fixed points, and acted upon by a uniform horizontal wind, blowing in a direction making any angle with the horizontal projection of the line joining the points. Find the curve in which the string hangs, and the tension at any point.
Pàgina xi - Find the sum of the squares of the coefficients in the expansion of (1 + x)", where n is a positive integer.
Pàgina 108 - A candidate is examined in three papers to each of which m marks are assigned as a maximum.

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