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In a certain culture the number of bacte...

In a certain culture the number of bacteria at any instant increases at a rate proportional to the cube root of the number present at that instant. If the number becomes 8 times in 3 hours, when the number will be 64 times?

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In a certain culture, the number of bacteria at any instant increases at a rate proportional to the square root of the number present at that instant. If the number becomes 16 times in 5 hours, when the number will be 49 times?

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UNITED BOOK HOUSE-SET 18-EXERCISE
  1. The temperature T of a cooling object drops at a rate proportional to ...

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  2. If veca,vecb are unit vectors and theta be the angle between them show...

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  3. If with reference to the right handed system of mutually perpendicular...

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  4. Evaluate : underset(nrarrinfty)Lt[(1)/(sqrt(n^2 - 1^2)) + 1/(sqrt(n^...

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  5. Evaluate : overset(log5)underset(0)int (e^xsqrt(e^x-1))/(e^x + 3 ) dx

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  6. A random variable X has the following probability function: Calculate...

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  7. A random variable X has the following probability function: Find P(x ...

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  8. A random varible x has the following probability function: the va...

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  9. Six coins are tossed at a time. Find the probability of occring not mo...

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  10. In a certain culture the number of bacteria at any instant increases a...

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  11. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

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  12. Prove that the radius of the right circular cylinder of greatest curve...

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  13. choose the correct alternative :(ii) state which of the foll. Is the v...

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  14. If A^t is the transporse of a square matrix A, then,

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  15. If d/dx ((1+x^2 + x^4)/(1+x+x^2)) = ax + b , then the values of a and ...

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  16. The rate average change of the function y = x^2 between x = 1 and x = ...

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  17. veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perp...

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  18. The straihgt line (x-4)/(3) = (y-2)/(1) = (z-1)/(0) is

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  19. A and B give examination for two empty posts. If the probability of th...

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  20. The variance of a binomial distribution with parameters n and p is-

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