Calendar: 1893-1894 Page 844

cxx11 FACULTY OF SCIENCE Express in terms of loga and ogac 10ga Jog -S7-- 11 Nine persons are chosen to till up an eight-par boat Of these two can row only on the bow side while two others can only row bow or steer How many diiferent ways are there of arranging the crew 12 If x2 bx and x2 Vx c' have common root which is an Arithmetic mean between the other two roots then b'f c' Cde 13 What is the purchase value of freehold estate paying clear rental of £40 per annum money being worth per cent per annum 14 The sum of η terms of series is-for all values η oin what is the series 15 Find the expression for the volume of frustum of pyramid in terms of its height and the areas of its ends How many times can glass in the shape of conical frustum with ends 2f" and in diameter and 4" high be lilled from full spherical flagon 20 in circumference and what will be the volume of the liquid left over π γ 16 The diameter of circular island is 300 feet and it is urrounded by an oblique-sided moat How many cubic feet of earth were dug out of it the breadth at the top being 10 feet the breadth at the bottom feet and the perpen- dicular depth feet YEAR III 18 Assuming the truth of the Binomial Theorem for positive integer prove it for fractional and negative index Expand afl and 2x to five terms