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State Remainder theorem.

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State and prove Remainder theorem.

Using the remainder theorem, find the remainders when x^(3)-3x^(2)+2x+5 is divided by (i) x + 2 and (ii) 2x + 1.

Using the remainder theorem, examine whether (2x + 1) is a multiple of the polynomial p(x)=4x^(3)+4x^(2)-x-1 or not.

Using the remainder theorem proved that (2x - 1) is a factor of the polynomial (4x^(3)-4x^(2)-x+1) .

State and prove theorem of parallel axis on moment of inertia.

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State Fermat's theorem.

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State Rolle's theorem. Is this theorem applicable to the function f(x)=x in the interval -1 le x le 1 ?

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UNITED BOOK HOUSE-Nava Nalanda School, Question Paper -Exercise
  1. Numerically the measure of skewness in terms of quartiles cannot excee...

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  2. Find the standard deviation of the following quantities: 5, 5, 5, 7, 7...

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  3. State Remainder theorem.

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  4. What do you mean by C4 cycle? Show C4 cycle with the help of word digr...

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  5. What is the condition that the roots of the equation x^3+ px^2 + qx + ...

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  6. If x^4 + 5x^3 + 4x^2 + 8x + 24 is divided by (x + 2), then find the re...

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  7. What do you mean by primary data?

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  8. Define the term schedule.

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  9. Find out derivative of (3x^2 + 5x + 78)

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  10. Five cards are drawn successively with replacement from a well-shuffle...

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  11. If iz^3+z^2-z+i=0 then the value of abs(z) is

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  12. What are the merits of arithmetic mean?

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  13. Write notes on : Relative dispersion and its measures.

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  14. If Y = a + bx, a, b be two real constants, then prove that Range (y) =...

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  15. Prove that logn(n + 1) > log(n + 1) (n + 2), for n > 1.

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  16. Show that for any set of n real values x1, x2,…….xn. x1^2 + x2^2 + …....

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  17. State Remainder theorem.

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  18. If a, b, c are all positive, prove that 6abc le bc(b + c) + ca(c + a) ...

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  19. Find the degree two polynomial function f(x) for which it is known tha...

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  20. If a variable assumes n values a, ar,………ar^(n - 1) (r < 1) with equal ...

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