Calendar: 1888-1889 Page 749
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ENGINEERING DEPARTMENT 741 What is meant when it is said that curve is the envelop of its tangents Find curve such that px xy is tangent to it for all values of illustrate by diagram In separating fraction into partial fractions state the various possible forms of the denominator and shew how to obtain the numerator corresponding to denominator x2 ax a2 דsc3 x2 Integrate -י---------- χ χ2 Explain the method of integration by substitution and shew how the limits of the new integral are to be found Evaluate 2a a2 Aa2dx J0 VI dx χ and sl x2 a2 b2 x2 10 Shew how to integrate differential equation of the following forms iii ea Integrate ν d2y 11 -f- 6m iii £ 2y Λ tfj
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