Calendar: 1883-1884 Page 625

general literature and science 621 XIII-Differential Calculus fcc Define differential coefficient If body moving with velocity has traversed distance ds dv in time what will be the meaning of ל Shew that 2-77 -ך Differentiate -f- 2Z c3 χ -5j 81 η α cos aa cot 10 ףg aa log β Prove that sin χ χ ך-jj- sin λα where is between and Expand in powers of χ as far as x2 Find the values of χ that make sin -b sin 2a maximum or minimum and distinguish between them Express in terms of the area of the triangle the area of the greatest rectangle that can be inscribed in the triangle that is have all its angular points on the sides of the triangle If ζ be function of χ and whereof is function of prove that Dz dz dz By Dx dx dy ϋχ' illustrate this geometrically If and yi c'2 find&J Integrate cos sec fsja 6-1-1 5"χ α3 Xs Make formulae of reduction for log ndx and cfc Find the area of the evolute of 7י1