Home
Class 12
MATHS
A population p(t) of 1000 bacteria intro...

A population p(t) of 1000 bacteria introduced intonutrient medium grows according to the relation `p(t)=1000+1000t/(100+t^2)`. The maximum size of the this bacterial population is

A

1100

B

1250

C

1050

D

5250

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

A population p(t) of 1000 bacteria introduced intonutrient medium grows according to the relation p(t)=1000+1000(t)/(100+t^(2)). The maximum size of the this bacterial population is

A population p(t) of 1000 bacteria introduced into nutrient medium grows according to the relation p(t)=1000+(1000t)/(100+t^2) . The maximum size of this bacterial population is equal to N then sum of the digits in N is

A population p(t) of 1000 bacteria inroduced into nutrient medium grows according to the relation p(t)=1000+(1000t)/(100+t^2) . The maximum size of this bacterial population is

Identify the correct match w.r.t population .

The population p(t) at a time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450. If p(0)=850 . Then the time at which the population becomes zero is

Find odd one w.r.t population

The population p(t) at time t of a certain mouse species satisfies the differential equation (dp(t))/(dt)=0.5p(t)-450 If p(0)=850, then the time at which the population becomes zero is (1)2ln18(2)ln9 (3) (1)/(2)In18(4)ln18

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The sum of two non-zero numbers is 4. The minimum value of the sum of ...

    Text Solution

    |

  2. The area of a rectangle will be maximum for the given perimeter, when ...

    Text Solution

    |

  3. A population p(t) of 1000 bacteria introduced intonutrient medium grow...

    Text Solution

    |

  4. The least value of the sum of any positive real number and its recipro...

    Text Solution

    |

  5. The function f(x)=x+sinx has

    Text Solution

    |

  6. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  7. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  8. If G and L are the greatest and least values of the expression (x^(2)-...

    Text Solution

    |

  9. The maximum value of exp(2+sqrt3cosx+sinx) is

    Text Solution

    |

  10. The function f(x)=x^(x) has a stationary point at

    Text Solution

    |

  11. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  12. The height of the cylinder of the greatest volume that can be inscribe...

    Text Solution

    |

  13. The radius of the cylinder of maximum volume, which can be inscribed i...

    Text Solution

    |

  14. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  15. Area of the greatest rectangle that can be inscribed in the ellipse x^...

    Text Solution

    |

  16. Suppose the cubic x^3-px+q has three real roots where pgt0 and qgt0 . ...

    Text Solution

    |

  17. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  18. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  19. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  20. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |