# Calendar: 1866-1867 Page 474

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476 APPLIED SCIENCES 21 If a3 a6 find the number of factors Ex Let ρ 20736 and 12 22 Which will be the greater sum of money put out to compound interest at percent for η years or the same sum put out to per cent for η years 23 Given log 8450980 log 9-824394 '9923057 find the 540th root of 00007 24 Find two fractions having and 11 for their denominator whose sum shall be 99 25 Find the number of different words which can be formed by taking the letters of the alphabet six together each word con- tabling two vowels How many will contain the vowel VII Itepartmem of tjje &ppluu Sciences IKatijcmattcS The Mathematical Papers are the same in each case as those given for the Department of General Literature and Science -Jiatural Ρ ί10$ορϊ £ THIRD YEA Divergent rays are incident on spherical reflector from given point Find the position of the geometrical focus Trace the corresponding positions of the conjugate foci luminous point is placed between two plane mirrors in- clined to one another at an angle of 40 Find the number and position of the images when the perpendicular from the luminous point to one of the mirrors subtendsfan angle of 15 at their inter- section Trace the pencil by which the point is seen by an eye in any position after three reflections

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