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Prove by the principle of mathematical induction `10^(2n-1)+1` is divisible by 11.

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Prove by mathematical induction that 10^(2n-1)+1 is divisible by 11

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JBD PUBLICATION-MODEL PAPER (6)-EXERCISE
  1. Find the domain and range of sqrt(9-x^2).

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  2. Find the general solution of sin x + sin 5x = sin 2 x + sin 4 x .

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  3. Prove by the principle of mathematical induction 10^(2n-1)+1 is divisi...

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  4. If .^(n+1)C(r+1):^(n)C(r):^(n-1)C(r-1)=11:6:3, find the values of n an...

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  5. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  6. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  7. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  8. If A and G be A.M. and G.M., respectively between two positive numbers...

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  9. Find the equations of the lines passing through the point (2, 2) such ...

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  10. Find the coordinates of the foci and the vertices, the ecentricity and...

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  11. Prove that:underset(xrarr2)lim(|x-2|)/(x-2) does not exist.

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  12. Find the derivative of (x)/(sin^(n)x)

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  13. In a single throw of two dice, find the probability of getting a total...

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  14. If [1/(1-4i)-2/(1+i)][(3-4i)/(5+i)]=a+ib then find the values of a and...

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  15. Find the multiplicative inverse of Z=1+costheta+isintheta.

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  16. Solve the following systems of linear inequalities graphically 3x+4yle...

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  17. Solve the system of inequalities: 2(2x+3)-10<6(x-2), ((x-2)/2)+13ge2+(...

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  18. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

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  19. Find the derivative of x^-3(5+3x)

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  20. Find the derivative of x^5(3-6x^-9).

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