Calendar: 1890-1891 Page 766

CIV ENGINEERING DEPARTMENT Shew that sin-1 x9 or cos-1 and reconcile vi x2 -ד &i ז ί these results Find the value of cos W0 cos 40 sin θ and shew that cos 3& sin sin 3$ Evaluate by means of substitution χ ν a2 Find י ja log Jx Qog xfdx tan 6A Trace the curve r2 cos -f ah cos 20 and find its area Shew that the surface of sphere is equal to the curved surface of right circular cylinder circumscribed to it and its volume is of the volume of the cylinder fntitceS Hogavttijmsi Prove am an firstly when and η are both posi- tive integers secondly when η and and ρ are positive integers Find the square root of -f -f 21 ΙΟλΓ -f 25x nyt י Find the logarithms of ץ and and thence determine the order of magnitude of the three expressions 10 Find 10g8 256 10g27 log100 '001 and the character- istics of 10g4 9857 10g2 V9857 and of 10g3 tj0009857 11 Prove Oga 10gc find χ to three places of decimals