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## Nairaland Mathematics Clinic - Education (2) - Nairaland

 Re: Nairaland Mathematics Clinic by majortele(m): 9:40am On Jan 03, 2013 Am in Re: Nairaland Mathematics Clinic by coolexy2: 9:42am On Jan 03, 2013 (1)what is the real application of mathematics in our live?(2) prove that:a. Sin^3 x = 1/4(3sinx - sin3x)b. Find 2nd derivative of: y = cos^3 x Re: Nairaland Mathematics Clinic by paranorman(m): 9:43am On Jan 03, 2013 Richiez: nice try bro, although you made some some mistakes especially at the point where you took log of both sides. e.g it ought to be log(x+y)= log5 and not logx + logy = log5. but i must admit, you did a very good job.here's another approach;x + y = 5.......(1)x^x + y^y =31.......(2)from eqn(1), x=5-y, hence we substitute this value for x in eqn(2).(5-y)^(5-y) + y^y = 31.......(3)now, we have reduced the problem to what value of y that must be inserted in eqn (3) to obtain 31.a thorough look at eqns (1) & (2) shows that the values of x & y must be positive integers within the range 0

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