A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 386
7rv ^ Ex 2 What is the value of (7, when du = —^(^2 _j_ y^ydyyii u = ^ when y = 0 ? Ans., (7 == -— ^Ttp^. Ex. 3 Given du = (2/)2(2r —• y)~^dy, what is the value of 0, ifzi -= C when y =zO? What if w = 0 when y = 2r7 Answers, Ar^ 0. Iiiii.—A differential is one of the infinitesimal elements of which… … ordinate, PDdb may be considered as representing anelement of the area, or dA. This element in the case of the parabola is found to be \/2pa; dx; hence dA = \/2px dx. This expression therefore represents any oneof the infinitesimal elements of which the quantity Ais composed. The Indefinite…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
