Home
Class 12
MATHS
The rate of increase in the numbers of b...

The rate of increase in the numbers of bacteria culture is proportional to the number present.If initially there were 1000 bacteria and the number doubles in 1 hour,find the number of bacteria after a time of 2 1/2 hours.

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos
  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

The rate of growth of bacteria is proportional to the number present.If initially,there were 1000 bacteria and the number double in 1 hour,find the number of bacteria after 2 1/2 hours.Take (sqrt 2=1.414) .

The rate o growth of bacteria is proportional to the number present . If intially, there were 1000 bacteria and the number doubles in 1 hours. Find the number of bacteria after 2""1/2 hours . [ take sqrt 2 = 1.414]

In a certain culture of bacteria the rate of increase in proportional to the number present.If it is found that the number doubles in 4 hours,find the number of times the bacteria are increased in 12 hours.

The rate of increases of bacteria in a certain culture is proportional to the number present. If it doubles in 5 hr., then in 25 hr., its number would be

Bacteria grow at rate proportional to the number of bacteria present in culture.If initially there are 100 bacteria and k is a constant of proportionality,show that the number of bacteria at time t is 100e^(kt) .

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Find the equation of the curve passing through the point(0,2) given th...

    Text Solution

    |

  2. The rate at which the population of a city increases varies as the pop...

    Text Solution

    |

  3. The rate of increase in the numbers of bacteria culture is proportiona...

    Text Solution

    |

  4. Bacteria multiply at the rate proportional to the number of bacteria p...

    Text Solution

    |

  5. An ice ball melts at the rate proportional to the amount of ice at any...

    Text Solution

    |

  6. The rate of decay of the mass of a radioactive substance at any time i...

    Text Solution

    |

  7. Bacteria grow at rate proportional to the number of bacteria present i...

    Text Solution

    |

  8. The order and degree of differential equation sqrt((1+(dy/dx)^2)=((d^2...

    Text Solution

    |

  9. The differential equation of y=c^2+c/x is

    Text Solution

    |

  10. x^2+y^2=a^2 is a solution of

    Text Solution

    |

  11. The differential equation of all circles having their centre on the y=...

    Text Solution

    |

  12. The differential equation y dy/dx+x=0 represents family of……..

    Text Solution

    |

  13. The solution of 1/x dy/dx=tan^(-1)x is……….

    Text Solution

    |

  14. The solution of (x+y)^2 dy/dx=1 is…………

    Text Solution

    |

  15. The solution of dy/dx=(y+sqrt(x^2-y^2))/x is

    Text Solution

    |

  16. The solution of dy/dx+y=cos x-sin x is

    Text Solution

    |

  17. The integrating factor of linear differential equation x dy/dx+2y=x^2 ...

    Text Solution

    |

  18. The solution of the differential equation dy/dx=sec x-y tan x is

    Text Solution

    |

  19. The particular solution of dy/dx=xe^(y-x) when y=0, x=0 is

    Text Solution

    |

  20. The decay rate of certain substance is directly proportional to the am...

    Text Solution

    |