Home
Class 12
MATHS
If x=2cost-cos2t ,\ \ y=2sint-sin2t , fi...

If `x=2cost-cos2t ,\ \ y=2sint-sin2t` , find `(d^2y)/(dx^2)` at `t=pi/2` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

Similar Questions

Explore conceptually related problems

If x=2cost-cos2t ,y=2sint-sin2t ,"f i n d"(d^2y)/(dx^2)"a t"t=pi/2dot

x= 2 cos t -cos 2t ,y=2 sin t-sin 2t Find d y / d x

If x=a(cost+tsint) and y=a(sint-tcost) , find (d^2y)/(dx^2)

If x=2cost-cos2t , y=2sint-sin2t ,then at t=(pi)/(4) , (dy)/(dx)=

If x=a(cost+tsint) and y=a(sint-tcost) ,find(d^2y)/(dx^2)dot

If x=a(cos t+tsint) and y=a(sint-tcost) , then find (d^2y)/(dx^2)

If x=3sint-sin3t , y=3cost-cos3t , find (dy)/(dx) at t=pi/3 .

Find . (d^2y)/(dx^2),ifx=a t^2,y=2a t .

If x=cost(3-2\ cos^2t) and y=sint(3-2sin^2t) find the value of (dy)/(dx) at t=pi/4

If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If y=e^(acos^(-1)x) , -1lt=xlt=1 , show that (1-x^2) (d^2y)/(dx^2)-x...

    Text Solution

    |

  2. If y=500\ e^(7x)+600\ e^(-7x) , show that (d^2y)/(dx^2)=49\ y .

    Text Solution

    |

  3. If x=2cost-cos2t ,\ \ y=2sint-sin2t , find (d^2y)/(dx^2) at t=pi/2 .

    Text Solution

    |

  4. If x=4z^2+5,\ \ y=6z^2+7z+3, find (d^2y)/(dx^2) .

    Text Solution

    |

  5. If y=log(1+cosx) , prove that (d^3y)/(dx^3)+(d^2y)/(dx^2)dot(dy)/(dx)=...

    Text Solution

    |

  6. If y=sin(logx) , prove that x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

    Text Solution

    |

  7. If y=3\ e^(2x)+2\ e^(3x) , prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0 .

    Text Solution

    |

  8. If y=(cot^(-1)x)^2 , prove that y2(x^2+1)^2+2x(x^2+1)y1=2 .

    Text Solution

    |

  9. If y="cosec"^(-1)x ,\ \ x >1 , then show that x(x^2-1)(d^2y)/(dx^2)+(2...

    Text Solution

    |

  10. If x=cost+logtan(t/2),\ \ y=sint , then find the value of (d^2y)/(dt^2...

    Text Solution

    |

  11. If x=asint and y=a(cost+logtan(t/2)) , find (d^2y)/(dx^2) .

    Text Solution

    |

  12. If x=a(cost+tsint) and y=a(sint-tcost) , then find the value of (dy)...

    Text Solution

    |

  13. If x=a(cost+logtan(t/2)) , y=asint , evaluate (dy)/(dx) .

    Text Solution

    |

  14. If x=a(cos2t+2tsin2t) and y=a(sin2t-2tcos2t) , then find (dy)/(dx) .

    Text Solution

    |

  15. If x=asint-bcost ,\ \ y=acost+bsint ,find (dy)/(dx) .

    Text Solution

    |

  16. Find A\ a n d\ B so that y=Asin3x+Bcos3x satisfies the equation (d^2y)...

    Text Solution

    |

  17. If y=A e^(-k t)cos(p t+c), then prove that (d^2y)/(dt^2)+2k(dy)/(dx)+n...

    Text Solution

    |

  18. If y=acos(logx) , find (dy)/(dx) .

    Text Solution

    |

  19. If y=a[x+(x^2-1)^(1/2)]^n+b[x-(x^2-1)^(1/2)]^n the value of the expre...

    Text Solution

    |

  20. If y=a\ x^(n+1)+b x^(-n) find (dy)/(dx) .

    Text Solution

    |