Home
Class 12
MATHS
A particle moves along the curve 6y = x^...

A particle moves along the curve `6y = x^3+2`. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos

  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

A particle move along the curve 6y = x^3 +2 . Find the points on the crve at which the y-coordinate is changing 8 times as fast as x-coordinate.

A particle moves along the curve y = (2/3)x^3 +1 . Find the points on the curve at which y-coordinate is changing twice as fast as the x-coordinate.

Find the point(s) on the curve: y = x^2+1 , at w2hich the slope of the tanget is equal to x-coordinate

Find the point(s) on the curve: y = x^2+1 , at w2hich the slope of the tanget is equal to y-coordinate

Find the points on the curve y = x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the point on the curve y^2 = 8 x for which the abscissa and ordiante change at the same rate.

PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. A balloon, which always remains spherical has a variable radius. Find ...

    Text Solution

    |

  2. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  3. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

    Text Solution

    |

  4. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  5. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  6. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

    Text Solution

    |

  7. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  8. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  9. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  10. The total revenue in Rupees received from its sale of x units of a pro...

    Text Solution

    |

  11. Show that the function given by f(x) = 3x + 17 is increasing on R.

    Text Solution

    |

  12. Show that the function given by f(x) = e^2x is increasing on R.

    Text Solution

    |

  13. Show that the function given by f(x) = sinx is increasing in (0,pi/2...

    Text Solution

    |

  14. f(x) = sin x is a strictly decreasing in (pi/2,pi)

    Text Solution

    |

  15. Show that the function given by f(x) = sinx is neither increasing no...

    Text Solution

    |

  16. Find the intervals in which the function f given by f(x) = 2x^2 - 3x i...

    Text Solution

    |

  17. Find the intervals in which the function f given by f(x) = 2x^2 - 3x ...

    Text Solution

    |

  18. Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x ...

    Text Solution

    |

  19. Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x ...

    Text Solution

    |

  20. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |