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Prove that by using the principle of ma...

Prove that by using the principle of mathematical induction for all `n in N`:
`1^(3)+ 2^(3)+3^(3)+ ……+n^(3)= ((n(n+1))/(2))^(2)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 5-EXERCISE
  1. In a quadratic equation of the form ax^2 + bx + c = 6 the co-efficient...

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  2. Show that. sqrt i+sqrt-i=sqrt2

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  3. Prove that by using the principle of mathematical induction for all n...

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  4. In a n sided polygon joining by straight line all the angular points. ...

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  5. Find the equation of a straight line passes through (-3, 10) and the l...

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  6. Find the ratio in which the straight line 3x + y = 9 divides the line ...

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  7. Prove that: lim(xrarr0)tanx/x=1

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  8. If.y = tan^-1 (sec x + tan x), show that ,dy/dx=1/2 .

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  9. A and B are two independent event. It P(A) = 1/2 and P(A cup B)=2/3,fi...

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  10. Find the mean deviation with respect ' to mean value :18,22,33,42,53,...

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  11. Find the HCF of 15, 40, 60 with the help of set theory

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  12. If 13theta=pi,show that costhetacos2theta cos3theta cos4theta cos5thet...

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  13. Solve:sinx-sin2x=cos2x-cosx

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  14. Show that by mathematical- induction :x^3+(x+1)^3+(x+2)^3is divisible ...

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  15. If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4), then the locus of (x, y)...

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  16. If the co-efficient of the (3r+1) th term is equal to the co-efficient...

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  17. Find the sum of 1 + 5 + 12 + 22 + 35 +….upto n term.

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  18. A straight line passes through A(1, 2) and makes an angle theta with t...

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  19. Find the equations of the lines, which cut-off intercepts on the axes ...

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  20. The equation of circum circle of an equilateral triangle is x^2+y^2+2g...

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