Calendar: 1891-1892 Page 818

ex χ χ engineering department 17 Find to tke nearest farthing the Compound Interest onl £2014 for years at 3J per cent 18 commissioner charges per cent commission on the cash price of all articles he sells and allows his customers 10 per cent discount for cash At what per cent above the costl price are the articles pioted that the manufacturer may gain 17 per cent 19 Obtain the sixth root of 2985984 differential Calculus THIRD YEAR Define the differential coefficient of and from your definition obtain it in the following cases Differentiate axn tan χ ex bx2 log tan χ tan log χ and log tan-1 χ Obtain the differential coefficient of x2 log χ and also of emx cos mx Prove that maxima and minima values of function of single variable occur alternately Find the maxima and minima values of 3λ8 r3 6x2 24 12 Shew by means of Maclaurin's theorem that eix Λ χ r2 7x3 9x 41 d2y Find -£ having given ax2 hxy by2 Find the equations to the tangent and normal at the point on the curve Hx 18 2y Qxy 9x3 Sx2 2x and also the length of the radius of curvature Examine the nature of the point on the curve 4ץ9