Calendar: 1885-1886 Page 673

GENERAL LITERATURE AND SCIIN'CE constant prove that the transverse acceleration varies as the radial velocity and if moreover the radial acceleration varies as the distance find the equation of the path described 12 sphere partly slips partly rolls down an imperfectly rough inclined plane coefficient of friction if the space due to the slip is equal to the space due to the roll the inclination of the plane must be tan -13 III Hlgcbra The numbers of male and female criminals are 1235 and 988 respectively the decrease in the former is 46 per cent and the increase in the latter 98 per cent find the increase per cent in the whole number of criminals Extract the square root of 42 V3 42 X5 and the cube root of 48228-544 Solve the equations yz xz xy a4 a3 x2 xy 15 xy y'2 Find the relation between the coefficients of the equation ax2 bx that it may have equal roots one root three times the other 99 999 '2a2 42 If is the harmonic mean between and prove that Find the number of words beginning and ending with consonant that can be formed of the letters of the word parabola Expand 4a by the Binomial Theorem and find the sum ofthe numerical coefficients of the terms