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

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...

A

1050

B

5250

C

1100

D

1250

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

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

Let the popution of rabbits surviving at a time t be governed by the differential equation (dp(t))/(dt)=1/2p(t)-200 . If p(0) = 100 , then p(t) equals :

For a particle moving on a straight line it is observed that the distance 's' and time 't' is given by s = 6t -1/2 t^(3) . The maximum velocity during the motion is

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

Write the dimensions of a and b in the relation P=(b-x^(2))/(at), where P is power, x is distance and t is the time :

The normal magnetic flux passing through a coil changes with time according to the equation phi = 6t^2 - 5t + 1 . What is the magnitude of the induced current at t = 0.253 s and resistance 10 Omega ?

A resistor of 500 Omega , an inductance of 0.5 H are in series with an a.c. which is given by V = 100 sqrt2 sin (1000 t) . The power factor of the combination is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The maximum of 4 sin^(2)x + 3 cos^(2)x is

    Text Solution

    |

  2. The maximum of the function 3 cos x - 4 sinx is

    Text Solution

    |

  3. A population p(t) of 1000 bacteria introduced into nutrient medium gro...

    Text Solution

    |

  4. A circular sector of perimeter 60 metre with maximum area is to be con...

    Text Solution

    |

  5. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  6. The function f(x)=cot^(-1)x +x increases in the interval :

    Text Solution

    |

  7. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  8. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  9. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  10. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

    Text Solution

    |

  11. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  12. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  13. Let x and y be two variables such that x gt 0 and xy =1. Then the mini...

    Text Solution

    |

  14. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  15. The function f(x) is defined by f(x) = (x+2)e^(-x) is

    Text Solution

    |

  16. The function f(x) = sin^(4)x + cos^(4) x increases if

    Text Solution

    |

  17. Consider the following statements S and R S : Both sin x and cos x ar...

    Text Solution

    |

  18. Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) ...

    Text Solution

    |

  19. The length of the largest interval, in which the function 3 sin x - 4 ...

    Text Solution

    |

  20. If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c, then in (-oo, oo), f(x)...

    Text Solution

    |