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State Fermat’s theorem. Also prove that ...

State Fermat’s theorem. Also prove that `/_\log f(x) = log [1 +(/_\ f(x))/(f(x))]`.

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UNITED BOOK HOUSE-Scottish Church Collegiate School, Question Paper -Exercise
  1. What are the different types of heart sound. State their causes and si...

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  2. If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) ...

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  3. State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...

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  4. Find the polynomial function f(x) for which it is known that f(0) = 1,...

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  5. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

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  6. If the events A^C and B^C are independent then show that A and B are i...

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  7. The probabilities of solving a problem by three students A,B,C are 3/7...

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  8. Suppose a variable assumes the values, 0, 1, 2,………….n with frequencies...

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  9. For any frequecy distribution

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  10. If the mean and variance of one set of values be barx1 and s1^2 and th...

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  11. Define imbibition State its significance.

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  12. The elements A, B and C have atomic numbers Z -2, Z and Z +1 respecive...

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  13. State and prove the theorem of compound probability.

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  14. The H.M of a set of values is 2. If each value is tripled, the new H.M...

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  15. If the relation between two variable x and y is 5y+7x=11 and the range...

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  16. A dinner party is to be fixed for a group of 100 persons. In this part...

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  17. If var (x) = 7, then var (5 - 3x) is equal to

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  18. The first moment about the value 4 of a variable is 3, then its mean ...

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  19. The sum of the roots of the equation x^3 + 5x + 1 = 0 is

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  20. If x is real, the minimum value of x^2 - 10x + 28 is

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