Calendar: 1898-1899 Page 755

FACULTY OF SCIENCE cxx111 י and that ג χψ χ ψη ffg χ 15 The bottom layer of pile of equal cannon balls is rectangle with in the longer side and in the shorter the top is single line of balls How many are there in the pile Prove that if 3a 56 the pile can be divided into piles each on square base 16 Shew how to express quadratic surd as continued fraction Apply your method to a2 17 Find the general term in the series which forms the coefficient of τ-1 in the expansion in ascending and de scending powers of χ of 18 What is meant by convergent series Obtain tests for the convergency or divergency of series by comparing it with geometric or harmonic series Apply your tests to the series of which the general term is η χη η η IV -iHfdjantfg- SECOND AND THIRD YEARS Show that the work body of mass can do in virtue of its velocity Ό is measured by £ mv2 truck whose 111a88 is 10 tons descends 100 yds of an incline of in 50 It then comes to the level the brake is put on and the truck brought to rest in 50 yds Find the brake power used the resistance being reckoned at lbs weight per ton both on the incline and on the level State how the surface and volume of tigure of revolu- tion may be found when the perimeter area and centre of gravity of the revolving figure is known Apply this to find the volume of cone and the centre of gravity of semi- circular wire ivservoir wall of brick work whose section is right- mglrd triangle has water against its inclined face to depth of ft The height of the wall is 12 ft and the thickness