Calendar: 1884-1885 Page 634

628 GENERAL LITERATURE AND SCIENCE 12 Solve by Horner's method to places of decimals 100 13 Prove that the roots of xz 3jo r2 lie between and beyond the roots of x2 2px Separate the roots of r2 36 -8 IV -afoalgirirf Find the differential coefficients of sin χ and log χ and χ 2x λ2 χ2 differentiate sin log log sin 3-a fl-3" du If μ δ prove that and write down dx2 Express the nth differential co-efficients of the following functions sin αχ χ 11 Ja a2 x2 י1 χ1 px log sc Prove that the limit of the quotient of two functions both of which vanish when χ is equal to the limit of the quotient of their differential coefficients with respect to χ sin 2x 2x sin χ Find the limit when χ of χ sin2 sin 2x Prove that if be function of and for particular value of and is then is minimum Find the maxima and minima values of x2 a2 sjx Illustrate the preceding question by tracing the curve aV a2 and find the equation of the tangent Set to it at the point for which χ Eliminate the function from e8111 by differentiation Find the asymptotes of and trace