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If f (x) =x^3-1/x^3, find the value of f...

If `f (x) =x^3-1/x^3`, find the value of `f (x) +f (1/x)`.

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JBD PUBLICATION-MODEL PAPER (13)-EXERCISE
  1. Find the component statement of the following and check whether they a...

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  2. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  3. If f (x) =x^3-1/x^3, find the value of f (x) +f (1/x).

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  4. Prove that:(tan^2 20- tan^2 theta)/(1- tan^2 20 tan^2 theta)=tan30 tan...

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  5. Prove, by Mathematical Induction, that for all n in N, 2.7^n+3.5^n-5...

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  6. How many different numbers between 100 and 1000 can be formed from the...

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  7. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

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  8. If the sum to infinity of the series 3+5r+7r^2+………is 44/9. Find r.

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  9. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

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  10. Find the equation of ellipse whose vertices are (pm13,0) and foci are ...

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  11. Find underset(xrarr1)lim f(x), where f(x)={(x^2-1, x le 1),(-x^2-1, x>...

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  12. Find the derivative of x^4-5 at x=10.

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  13. In a single throw of two dice, find the probability of total of 9 or I...

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  14. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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  15. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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  16. Convert z= (i-1)/(cos frac (pi)(3)+i sin frac (pi)(3)) in polar form.

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  17. Find the modulus and argument of the complex number (1+2 i)/(1- 3i)

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  18. Solve the following system of inequalities graphically: x + 2y le ...

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  19. In an experiment, a solution of a hydrochloric acid is to be kept betw...

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  20. Evaluate: underset(xrarrpi/4)lim (cosx-sinx)/(x-pi/4).

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