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Prove, by Mathematical Induction, that f...

Prove, by Mathematical Induction, that for all n `in` N,
`2.7^n+3.5^n-5` is divisible by 24 .

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JBD PUBLICATION-MODEL PAPER (13)-EXERCISE
  1. If f (x) =x^3-1/x^3, find the value of f (x) +f (1/x).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the derivative of sin(x+1) w.r.t. x

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  20. Find the variance and S.D of the following set of numbers: 25,50,45,30...

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