Home
Class 11
MATHS
Let a kind of bacteria grow by t^(3) (t ...

Let a kind of bacteria grow by `t^(3)` (t in sec). At what time the rate of growth of the bacteria is 300 bacteria per sec?

Text Solution

Verified by Experts

The correct Answer is:
After `t=10sec`, the growth rate of bacteria should be `300 "bacteria"//sec`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(a)|16 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(b)|28 Videos

  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

The kind of growth in unicelluar organims like bacteria is .

In a laboratory the count of bacteria in a certain, experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

A length of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the length is enlarged 20,000 times only, what would be its enlarged length?

In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present ?

The radioactive decay rate of a radioactive element is found to be 10^(3) dps at a certain time . If the half life of element is 1 sec , the decay rate after 1 sec , is ….and after 3 sec , is …….

A particle moves along a line according to the law s=4t^3-3t^2+2 . At what time will the acceleration be equal to 42 unit/ sec^2 ?

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(h)
  1. Let a kind of bacteria grow by t^(3) (t in sec). At what time the rate...

    Text Solution

    |

  2. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  3. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  4. Find the points at which the functions f(x) = x^(3) - 6x^(2) + 9x + ...

    Text Solution

    |

  5. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  6. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  7. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  8. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  9. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  10. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  11. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  12. Prove that the functions do not have maxima or minima: f(x) = e^(x)

    Text Solution

    |

  13. Prove that the functions do not have maxima or minima: g(x) = log ...

    Text Solution

    |

  14. Prove that the following functions do not have absolute maximum and ab...

    Text Solution

    |

  15. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  16. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  17. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  18. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  19. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  20. Use the first derivative test to find the local extrema of f(x) =x^(3)...

    Text Solution

    |

  21. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

    Text Solution

    |