Home
Class 12
MATHS
In a culture of yeast,the active ferment...

In a culture of yeast,the active ferment doubles itself in 3 hours.Assuming that the quantity increase at rate proportional to itself,then after 15 hours,the amount will be

A

4 times original

B

8 times original

C

32 times original

D

16 times original

Text Solution

Verified by Experts

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

If the population of a country doubles in 60 years,in how many years will be triple(treble)under the assumption that the rate of increase is proportional in the number of inhabitants?given : log 2=0.6312,log 3=1.0786 .

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

What would be the percent growth or birth rate per individual per hour for the same population mentioned in the question?(If a population of 50 paramecium present in a pool increases to 150 after an hour ,What would be the growth rate of population?)

The decay rate of certain substance is directly proportional to the amount present at that instant.Initially there are 27 grams of substance and 3 hours later it is found that 8 grams left.The amount left after one more hour is……….

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]

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. If dy/dx+1/x y=x^3-3 is a linear differential equation then e^(int Pdx...

    Text Solution

    |

  2. If cos^2 x dy/dx+y=tan x is a linear differential equation then e^(int...

    Text Solution

    |

  3. Solve the following differential equations.dr=a(r sin theta d theta-co...

    Text Solution

    |

  4. Which of the following differential equation is not a homogeneous diff...

    Text Solution

    |

  5. A cistern is being emptied in such a way that the rate at which water ...

    Text Solution

    |

  6. In a culture of yeast,the active ferment doubles itself in 3 hours.Ass...

    Text Solution

    |

  7. The order and degree of the differential equation (d^4y/dx^4)=[1+(dy/d...

    Text Solution

    |

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

    Text Solution

    |

  9. x^2+y^2=r^2 is a solution of y=x dy/dx+r sqrt(1+(dy/dx)^2)

    Text Solution

    |

  10. Form a differential equation by eliminating arbitrary constants A an B...

    Text Solution

    |

  11. Form a differential equation by eliminating arbitrary constants A,B,C ...

    Text Solution

    |

  12. Find the particular solution of differential equation (x-y^2x)dx-(y+x...

    Text Solution

    |

  13. Solve the following differential equations.(4)(x dy/dx-y)e^(y/x)=x^2 c...

    Text Solution

    |

  14. Solve the following differential equations.(13)(9x+5y)dy+(15x+11y)dx=0

    Text Solution

    |

  15. Solve (x+a)dy/dx-3y=(x+a)^3

    Text Solution

    |

  16. Solve the following differential equation: (x+y)dy/dx=(x+y)^5, by subs...

    Text Solution

    |

  17. Solve the following differential equations.dy/dx=sin (x+y)+cos(x+y)

    Text Solution

    |

  18. Solve the following differential equation:(3)(d theta)/dt=-k(theta-the...

    Text Solution

    |

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

    Text Solution

    |

  20. Water is being poured into a vessel in the form of an inverted right c...

    Text Solution

    |