Calendar: 1884-1885 Page 633

GENERAL LITERATURE AND SCIENCE 627 passed in minute is the speed of the train in miles per hour how far apart are the posts Resolve into factors c4 2b2c2 2cV 2a2b2 Evaluate the determinants and d9 b2 d2 a3 b3 c3 d3 ן Find the and of x2 6x 9x2 and hx2 Solve the equations cz y2 £2 If ax2 by by2 be transformed by writing pX- qY for and qX Zfor and become AX2 2HXY BY2 prove that Β and that Η2- AB h2 ab p2 q2 Examine the relations between the roots and co-efficients of quadratic equation If β γ be the roots of x2 γ the roots of p2x g2 and if α β be the roots of pzx g3 write down cubic equation the roots of which are α β γ 10 Sum to infinity the series of which the general term is η η 11 Β holds an estate from on lease with η years un- pired He sublets it at £P per annum Reckoning com- pound interest at £r per £ per annum the present value of the estate to is times iTs interest in it What rent is Β paying