This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ... = i/--'3 14. Find the maximum cone whose convex surface is constant. The altitude = /% times the radius of base. 15. Find the maximum cylinder that can be inscribed in an oblate spheroid whose semi-axes are a and b. The radius of base = a V%; the altitude = b---. 16. Find the maximum difference between the sine and ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ... = i/--'3 14. Find the maximum cone whose convex surface is constant. The altitude = /% times the radius of base. 15. Find the maximum cylinder that can be inscribed in an oblate spheroid whose semi-axes are a and b. The radius of base = a V%; the altitude = b---. 16. Find the maximum difference between the sine and cosine of any angle. When the angle = 135. 17. Find the number of equal parts into which a must be divided so that their continued product may be a maximum. Let x be the number of parts, and thus each part equals, and therefore u--(J, from which we get x =; a therefore each part--e, and the product of all = (e)'. 18. Find a number x such that the xth root shall be a maximum. x = e = 2.71828+. 19. Find the fraction that exceeds its m'h power by the greatest possible quantity. /1 1t m I 20. A person being in a boat 3 miles from the nearest point of the beach, wishes to reach in the shortest time a place 5 miles from that point along the shore; supposing he can walk 5 miles an hour, but row only at the rate of 4 miles an hour, required the place he must land. One mile from the place to be reached. 21. A privateer wishes to get to sea unmolested, but has to pass between two lights, A and B, on opposite headlands, the distance between which is c. The intensity of the light A at a unit's distance is a, and the intensity of B at the same distance is i; at what point between the lights must the privateer pass so as to be as little in the light as possible, assuming the principle of optics that the intensity of a light at any distance equals its intensity at the distance one divided by the square of the distance from the light. __ ca a? + $ 22. The flame of a candle is directly over the centre of a circle whose radius is r; what ought to be its height ab...
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Add this copy of An Elementary Treatise of the Differential and Integral to cart. $22.09, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2021 by Legare Street Press.
Add this copy of An Elementary Treatise of the Differential and Integral to cart. $50.95, good condition, Sold by Tustin rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2021 by Legare Street Press.
