Home
Class 12
MATHS
In a newly developed city, it is estimat...

In a newly developed city, it is estimated that the voting population (in thousands) will increase according to `V(t) = 30 + 12 t^(2) -t^(3), 0 le t le 8` where t is the time in years. Find the approximate change in voters for the time change from 4 to 4`4(1)/(6)` year.

Text Solution

Verified by Experts

The correct Answer is:
8000
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.3|3 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.4|11 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.1|13 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|18 Videos
  • DISCRETE MATHEMATICS

    NCERT TAMIL|Exercise Exercise 12.3 (Choose the correct or the most suitable answer from the given four alternatives)|20 Videos

Similar Questions

Explore conceptually related problems

In a newly developed city, it is estimated that the voting population (in thousands) will increase according to V(t) = 30 + 12t^(2)-t^(3), 0 le t le 8 where t is the time in years. Find the approximate change in voters for the time change from 4 to 4(1/6) year.

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . At what times the particle changes direction?

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . Find the particle's acceleration each time the velocity is zero.

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . Find the total distance travelled by the particle in the first 4 seconds.

A train started from Madurai junction towards Coimbatore at 3 pm (time t = 0) with velocity v(t) = 20t + 50 kilometer per hour, where t is measured in hours. Find the distance covered by the train at 5 pm.

A train started from Madurai junction towards Coimbatore at 3pm (time t=0) with velocity v(t)=20t+50 kilometre per hour, where t is measured in hours. Find the distance covered by the train at 5pm.

A particle moves in a straight line according to the relation: x = t ^ { 3 } - 4 t ^ { 2 } + 3 t Find the acceleration of the particle at displacement equal to zero.

A model rocket is launched from the ground. The height 'h' reached by the rocket after t seconds from lift off is given by h(t) = - 5t^(2) + 100t, 0 le t le 20 . At what time the rocket is 495 feet above the ground?

A ball is thrown vertically upwards, moves according to the law s=13.8t-4.9t^(2) where s is in metres and t is in seconds. (i) Find the acceleration at t = 1 (ii) Find velocity at t = 1 (iii) Find the maximum height reached by the ball?

NCERT TAMIL-DIFFERENTIALS AND PARTIAL DERIVATIVES-EXERCISE 8.2
  1. Find differential dy for each of the following functions : y = ((1-...

    Text Solution

    |

  2. Find differential dy for each of the following functions : y = (3 +...

    Text Solution

    |

  3. Find differential dy for each of the following functions : y = e^(x...

    Text Solution

    |

  4. Find df for f(x) = x^(2) + 3x and evaluate it for x = 2 and dx = 0....

    Text Solution

    |

  5. Find df for f(x) = x^(2) + 3x and evaluate it for x = 3 and dx = 0....

    Text Solution

    |

  6. Find Delta f and df for the function f for the indicated values of x, ...

    Text Solution

    |

  7. Find Delta f and df for the function f for the indicated values of x, ...

    Text Solution

    |

  8. Assuming log(10) = 0.4343, find an approximate value of log(10)1003.

    Text Solution

    |

  9. The trunk of a tree has diameter 30 cm. During the following year, the...

    Text Solution

    |

  10. The trunk of a tree has diameter 30 cm. During the following year, the...

    Text Solution

    |

  11. An egg of a particular bird is very nearly spherical. If the radius to...

    Text Solution

    |

  12. Assume that the cross section of the artery of human is circular. A dr...

    Text Solution

    |

  13. In a newly developed city, it is estimated that the voting population ...

    Text Solution

    |

  14. The relation between the number of words y a person learns in x hours ...

    Text Solution

    |

  15. The relation between the number of words y a person learns in x hours ...

    Text Solution

    |

  16. A circular plate expands uniformly under the influence of heat. If it’...

    Text Solution

    |

  17. A coat of paint of thickness 0.2 cm is applied to the faces of a cube ...

    Text Solution

    |