Calendar: 1896-1897 Page 699

FACULTY OF SCIENCE C1X 20 Obtain formulas of reduction for a2 v2 nch sin civ tan dx and integrate completely β Ξ 71י a2 x2ydx sin tan4 dir מ J0 21 Two circles each pass through the centre of the other the figure revolves about the chord of intersection of the circles Express the volume of the inner solid thus generated in terms of the radius of the circles Assign the limits of the integration for the outer solid algebra YEAR Questions 1-10 YEAR II Questions 8-14 YEAR III Questions 13-19 Divide a3 b3 c3 3abc by and hence write down the quotient when x3 3xy y3 -f is divided by χ Prove that 2x 2y ζ χ 2z χ 2y ζ χ 2z χ Prove that the product of any two quantities is equal to the product of their and Is this true for three quantities The of numbers is 11 When they are increased by and 16 respectively their is Prove that the Sum of the original numbers is divisible by 77 Find tlie factors of xr a&A ii iii xG y9 iv χ2 Ίχ 120 If χ α β are the factors of x2 ax write down in terms of and quadratic expression whose factors shall be χ a2 β2