Home
Class 12
MATHS
A particle moves along the curve y=x^(3/...

A particle moves along the curve `y=x^(3/2)` in the first quadrant in such a way that its distance from the origin increases at the rate of `11` units per second. Then the value of `dx/dt` when `x=3` is given by

A

4

B

`(9)/(2)`

C

`(3sqrt(3))/(2)`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise TRY YOURSELF|39 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the parabola y=x^(2) in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination theta of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is

A particle moves along the curve 12y=x^(3) . . Which coordinate changes at faster rate at x=10 ?

A particle moves along the curve x^(2)=2y . At what point, ordinate increases at the same rate as abscissa increases ?

If y=x^(3) and x increases at the rate of 3 units per sec; then the rate at which the slope increases when x=3 is.

A particle moves along the curve y=x^(2)+2x. At what point(s on the curve are the x and y coordinates of the particle changing at the same rate?

If y=7x-x^(3) and x increases at the rate of 4 units per second,how fast is the slope of the curve changing when x=2?

A particle moves along the curve y=(4)/(3)x^(3)+5 . Find the points on the curve at which the y - coordinate changes as fast as the x - coordinate.

Find the area bounded by the curve y=sqrtx,x=2y+3 in the first quadrant and X-axis.

Find the area bounded by the curve y=sqrtx,x=2y+3 in the first quadrant and X-axis.

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. The least area of a circle circumscribing any right triangle of area S...

    Text Solution

    |

  2. If f(x)=x(1-x)^(3) then which of following is true ?

    Text Solution

    |

  3. A function y=f(x) is given by x=1/(1+t^2) and y=1/(t(1+t^2)) for all t...

    Text Solution

    |

  4. The point on the curve y^(2)=x where tangent makes 45^(@) angle with x...

    Text Solution

    |

  5. The radius of a right circular cylinder increases at a constant rate ....

    Text Solution

    |

  6. Two sides of a triangle are to have lengths 'a'cm & 'b'cm. If the tria...

    Text Solution

    |

  7. The cost function at American Gadget is C(x)=x^(3)-6x^(2)+15x (x is t...

    Text Solution

    |

  8. A particle moves along the curve y=x^(3/2) in the first quadrant in su...

    Text Solution

    |

  9. Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x)...

    Text Solution

    |

  10. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  11. The angle made by any tangent to the curve x=a(t+sintcost) , y=(1+sint...

    Text Solution

    |

  12. A cube of ice melts without changing its shape at the uniform rate ...

    Text Solution

    |

  13. Consider the curve represented parametrically by the equation x = t^3-...

    Text Solution

    |

  14. The point on the curve y=6x-x^(2) where the tangent is parallel to x-a...

    Text Solution

    |

  15. For the curve y=3sinthetacostheta, x=e^(theta)sintheta, 0lt=thetalt=p...

    Text Solution

    |

  16. The slope of normal to the curve x^(3)=8a^(2)y, a gt 0 at a point in ...

    Text Solution

    |

  17. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  18. The equation of tangent to the curve x=a cos^(3)t ,y=a sin^(3) t at ...

    Text Solution

    |

  19. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

    Text Solution

    |

  20. For the function f(x)=x^(2)-6x+8, 2 le x le 4 , the value of x for whi...

    Text Solution

    |