Calendar: 1879-1880 Page 600
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600 GENERAL LITERATURE AND SCIENCE 11 If e2 the roots of be all real and different then hn hn "1יז ו ו 7Κ α1 Λ2 α the coefficient of x" in being unity 12 Prove that in any scale of notation every number is greater than the product of its digits 13 Prove Sturm's Theorem Apply it to find the number of real roots of the equation x1 3x 14 If the three equations x3 px -f- qx -f Xs qx2 f- rx ρ Xs rx2 qx ρ have common root show that ין r2 Ipq XIX plant anH Spherical Crtgonomttrj If 27' find the values of 8in and explain priori why one of them is negative Show that tan Jti V10 V5 Having given 008 cosif cosC cos cos Β cos prove that coseAl cosec 00860 לcosecJ eosecS cosecC If θ be the circular measure of an angle less than right angle prove that ύχιβ θ
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