# Calendar: 1896-1897 Page 702

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cxii FACULTY OF SCIENCE find the first If the sum of η terms of series be and the rth terms 16 Prove that every equation of an odd degree must have real root and shew how to determine its sign Prove that xz Ax2 has root between and and find closer approximation to the root by any one method explaining the method you adopt 17 If is an integral root of the equation prove that is divisor of Obtain the commensurable roots of and solve completely 10αΑ 7x2 lO 24 18 If cl are the roots of prove that the roots of Ayz Apr p2s i2 are ab cd ctc bd ad be 19 Evaluate the determinants c3 β3 Ο י a2 a2 b2 ϋ f7 -f ל III tfjugfai FIRST YEAR 2v0£ £7 6י 20מm questions may be taken Distinguish between mass and weight "What do you understand by an absolute unit of force Is the weight of kilogramme an absolute force if not what would be its equivalent in absolute measure Explain the meaning and discuss the appropriateness of the term centrifugal force mass at the end of string is revolved in horizontal plane describing circle of feet radius how many revolutions per second must it make in order to exert horizontal force equal to ten times its weight railway truck weighing 10 tons is moving with velocity of 40 feet per second Find its kinetic energy in

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