# Calendar: 1888-1889 Page 751

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ENGINEERING DEPARTMENT 743 Explain the meanings of and give your for the meanings you assign to these expressions Simplify ambn 1n-n mb-n Given log 81 1-90849 log 80 90309 find log log and log 805 Sum the following series to η terms ii 4י to infinity The sum of series to η terms is 2ל what is the series The term of series is what is the sum of η terms 10 If a2 b2 prove that £2 י a2 b2 11 If זג ί prove that ί ζ χ 12 person mistaking the hands of clock thinks it is 27T9S minutes past What is the time Sllgcbra antt Conic j7 ectt'01tS Expand by the Binomial Theorem £ £ £ and to terms 2& j3 a-2x Sum the series 2r 4r3 to terms ii to η terms iii η to η terms Prove from the theory of combinations that the product of η consecutive integers is divisible by If straight lines be drawn on plane how many triangles at most do they form Prove that the length of the perpendicular from on χ cos sin ρ is χ cos sin Find the length and the equation of the perpendicular from on bx ay a2 b2 Prove that the equation may be interpreted as either series of straight lines drawn

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