Home
Class 12
MATHS
Let the population of rabbits survivi...

Let the population of rabbits surviving at a time t be governed by the differential equation `(d p(t)/(dt)=1/2p(t)-200.` If `p(0)""=""100` , then p(t) equals (1) `400-300""e^(t//2)` (2) `300-200""e^(-t//2)` (3) `600-500""e^(t//2)` (4) `400-300""e^(-t//2)`

A

`400-300e^(t/2)`

B

`300-200e^(t/2)`

C

`600-500e^(t/2)`

D

`400-300e^(t/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

Similar Questions

Explore conceptually related problems

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

If y(t) satisfies the differential equation y'(t)+2y(t)=2e^(-2t),y(0)=2 then y(1) equals

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

If f(x) is differentiable function and f(x)=x^(2)+int_(0)^(x) e^(-t) (x-t)dt ,then f)-t) equals to

NIKITA PUBLICATION-APPLICATION OF DEFINITE INTEGRAL-MULTIPLE CHOICE QUESTIONS:(MCQ)
  1. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

  2. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

    Text Solution

    |

  3. Find the area of the region bounded by x^2=16 y ,\ y=1,\ y=4 and the y...

    Text Solution

    |

  4. Find by integration the area of the region bounded by the curve y=2x-x...

    Text Solution

    |

  5. Find the area of the region bounded by: the parabola y=x^2 and the li...

    Text Solution

    |

  6. The area of the region bounded by the parabola y = x^(2) and the line ...

    Text Solution

    |

  7. The area of the region described by the curves y^(2) = 2x and y = 4x -...

    Text Solution

    |

  8. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

    Text Solution

    |

  9. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

    Text Solution

    |

  10. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

    Text Solution

    |

  11. Find the area of the region bounded by the curve (y-1)^2=4(x+1) and th...

    Text Solution

    |

  12. The area of the region bounded by the parabola y^(2) = 16 (x - 2) and ...

    Text Solution

    |

  13. Find the area of the region included between the parabolas y^2=4a x...

    Text Solution

    |

  14. Find the area of the region bounded by the two parabolas y=x^2and y^2...

    Text Solution

    |

  15. The area between parabolas y^(2) = 7x and x^(2) = 7 y is

    Text Solution

    |

  16. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  17. The area of the plane region bounded by the curves x + 2y^(2)=0 and x+...

    Text Solution

    |

  18. Find the area enclosed between first quadrant of a circle x^2 + y^2 = ...

    Text Solution

    |

  19. Find the area enclosed between the circle x ^ 2 + y ^ 2 = 1...

    Text Solution

    |

  20. Using integration, find the area of the region common to the circle x^...

    Text Solution

    |

  21. The area lying above the X-axis and included between the circle x^(2) ...

    Text Solution

    |