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1) Show that for all positive reals a,b,c,d:- 1/a + 1/b + 4/c + 16/d>= 64/(a+b+c+d) 2) a,b,c are positive reals with abc=1. Prove that, 1/{a^3(b+c)} + 1/{b^3(c+a)} + 1/{c^3(a+b)}>= 3/2. 3) Solve the following inequality ...
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Find the sum to n terms: 1\1*3 + 2\1*3*5 + 3\1*3*5*7......to n terms. ...
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cot2x=cosecx+sinx. Find the general solution of this equation. ...
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If a tunnel was dug from one end of the Earth to the other end through the centre of the Earth and a ball would have been relesed in the tunnel at one end , What would have been the ball's motion?Why? ...
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Why does the Earth follow an elliptical path around the sun? Is it affected by the presence of the other planets? Where as the moon's orbit is not so. Why? ...
