Calendar: 1855-1856 Page 415
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THE SCHOOL 411 IT -algebra z2 -- Show that where α δ χ α χ r2 Find from the equation 2x ץ Ζ -ν 77 The sum of all the fractions which lie between 10 and 100 and have for their denominator is 9900 What values of χ will satisfy the equation- χ-1 -f ף--- -j- ך- Two pedestrians started from the same point at the same time to walk 1000 yards and back one walks 135 yards the other 125 yards in minute what distance will each have walked before they start again together from the same place Find from the equations- xy ζ Compare the sum of the even with the sum of the odd numbers in the first 1000 natural numbers If &c to terms -f &c to terms η find The sum of three numbers in harmonic progression is 26 and the product of the extremes exceeds the square of the mean by the mean find the numbers 10 Extract the square roots of cTc bc 11 Find two consecutive numbers the sum of whose squares multiplied by the difference of their cubes 247 12 If be the j9th Qth and rtil terms respectively of an arithmetical series then shall
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