Calendar: 1876-1877 Page 592

592 general literature and science 11 Find the superior and inferior limits to the roots of χ3 42 χ2 441 χ 4920 12 Assuming that every equation has rout shew that the equation -2 pn has η roots and express Pv Pi in terms of them If η be odd shew that ύαηθ -l 8in0 sin2 sin sin sin20 יu Λοβίβοΰ to factors 13 Solve the equation χ3 12 χ 12 by Cardan's method 14 If ε"" ι be root of the equation p0 then sin 42 s'n Λ s'n na 15 If be the roots of the equation χΖ ρ χ 4-2 4-7 find the value of a'b 4- Wc and prove that it is one of the roots of the equation i3 -J- pq 3r q3 p3r qr2 6pqr XXI -engltilj Literature State under what circumstances the following pieces of Burke were written and with what purpose Thoughts on the present Discontents Speech on Conciliation with America Reflections on the French Revolution Give brief account of the life of Goldsmith In what respects does he stand as poet between the age of Pope and of Cowper Mention the more important of Cowper's poems Point