Calendar: 1886-1887 Page 676

678 GENERAL LITERATURE AND SCIENCE Division -$ tgi er Paper 7Γ If χ χ 2ל prove that θ being proper fraction log log χ cos -f6 tan tan χ χ 6h Find the equations of the tangents to ex at χ and at זג Draw figure illustrating the curve and these tangents Find the least length of the minor axis of an ellipse intercepted between the tangent and normal Integrate the following functions with respect to χ χ χ cos θ xe ו χ 3x 2x2 2x cos θ χ xf tan -1χ axeo$nx th 1th plane cuts off of the surface and of the η volume of sphere find the relation between and η and the maximum value of the ratio dy Shew how to integrate -f Py dx Integrate dx י χ2 X2 L1 xdI If "1 ft pn prove that an odd number of the roots off lie between each pair of roots of Ascertain the situation of the real roots of Sx2 f4 &r 16 If PT be the tangent to any curve PQ and QT meet it at