Home
Class 12
PHYSICS
A metallic disc is being heated. Its are...

A metallic disc is being heated. Its area (in `m^(2)`) at any time t (in sec) is given by `A=5t^(2)+4t`. Calculate the rate of increase in area at `t=3sec`.

Text Solution

Verified by Experts

The correct Answer is:
`34m^(2)//sec`
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Integration)|12 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Graphs))|30 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Trigonometry)|22 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A metallic disc is being heated. Its area A(in m^2 ) at any time t(in second) is given by A=5t^2+4t+8 . Calculate the rate of increase in area at t=3s .

A metallic disc is being heated. Its area A ("in" m^2) at any time t ("in" sec) is given by A =5 t^2 +4 t+8 Calculate the rate of increase of area at t =3 s .

The area of blot of link is growing such that after t seconds, its area is given by A =(3t^(2)+7) cm^(2) . Calculate the rate of increases of area at t=5 second.

The area of a blot of ink is growing such that after t seconds, its area is given by A = (3t^(2) +7) cm^(2) . Calculate the rate of increase of area at t=5 second.

The area of a circle is given by A=pir^(2) , where r is the radius . Calculate the rate of increases of area w.r.t. radius.

The area 'A' of a blot of ink is growing such that after 't' second. A=3t^(2)+(t)/(5)+7 Calculate the rate of increase of area after five seconds.

Velocity of a particle varies with time as v=4t. Calculate the displacement of particle between t=2 to t=4 sec.

The displacement is given by x = 2t^(2) + t + 5 , the acceleration at t = 5 sec will be-

ALLEN-RACE-Basic Maths (Differentiation)
  1. If y=e^(x) sinx then calculate (dy)/(dx)

    Text Solution

    |

  2. Position of particle moving along x-axis is given as x=2+5t+7t^(2) the...

    Text Solution

    |

  3. A metallic disc is being heated. Its area (in m^(2)) at any time t (in...

    Text Solution

    |

  4. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  5. The displacement x of particle moving in one dimension, under the acti...

    Text Solution

    |

  6. A car moves along a straight line whose equation of motion is given by...

    Text Solution

    |

  7. A particle moves along X-axis in such a way that its coordinate X vari...

    Text Solution

    |

  8. Relation between displacement x and time t is x=2-5t+6t^(2), the initi...

    Text Solution

    |

  9. The displacement 'x' of a particle moving along a straight line at tim...

    Text Solution

    |

  10. If the distance covered by a particle is given by the relation x=at^(2...

    Text Solution

    |

  11. The displacement of a particle is given by x=a(0)+(a(1)t)/(3)-(a(2)t...

    Text Solution

    |

  12. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  13. If v=(t+2)(t+3) then acceleration(i.e(dv)/(dt)) at t=1 sec.

    Text Solution

    |

  14. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  15. (d)/(dx)(e^(100))=…………………

    Text Solution

    |

  16. (d)/(dx)(sin120^(@))=…………

    Text Solution

    |

  17. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  18. If v=(t^(2)-4t+10^(5))m/s where t is in second. Find acceleration at t...

    Text Solution

    |

  19. If y=sinx+cosx" then "(d^(2)y)/(dx^(2)) is :-

    Text Solution

    |

  20. If vpropt^(5//2) then

    Text Solution

    |