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

If `x=2cost-cos2t` & `y=2sint-sin2t` , find the value of `(d^2y//dx^2)` when `t=(pi//2)` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If x=2cost-cos2t,y=2sint-sin2t," then "(dy)/(dx)=

If x=a(sin t-t cos t),y=a sin t then find the value of (d^(2)y)/(dx^(2))

If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t , then the value of |(d^(2) y)/(dx^(2))|_(t= pi//2 ) is

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

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

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

If x=2cos t-cos2t,quad y=2sin t-sin2t find (d^(2)y)/(dx^(2)) at t=(pi)/(2)

x=3cost-2cos^(3)t,y=3sint-2sin^(3)t

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

    Text Solution

    |

  2. A twice differentiable function f(x)is defined for all real numbers an...

    Text Solution

    |

  3. If x=2cost-cos2t & y=2sint-sin2t , find the value of (d^2y//dx^2) when...

    Text Solution

    |

  4. Find the value of the expression y^3((d^2y)/(dx^2)) on the ellipse 3x^...

    Text Solution

    |

  5. If sqrt(x^2+y^2)=e^(sin^(-1)(y/(sqrt(x^2+y^2)))). Prove that (d^2y)/(d...

    Text Solution

    |

  6. Find a polynomial function f(x) such that f(2x) = f'(x) f ''(x).

    Text Solution

    |

  7. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |

  8. Let y=xsink x . Find the possible value of k for which the differentia...

    Text Solution

    |

  9. The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime...

    Text Solution

    |

  10. Let f(x)=[x e^x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ xlt=0x+x^2-x^...

    Text Solution

    |

  11. f:[0,\ 1]->R is defined as f(x)=[x^3(1-x)sin(1/(x^2))\ \ \ if\ 0<xlt=1...

    Text Solution

    |

  12. Let f: R->R satisfying f((x+y)/k)=(f(x)+f(y))/k( k != 0,2).Let f(x...

    Text Solution

    |

  13. Let (f(x+y)-f(x))/2=(f(y)-a)/2+x y for all real xa n dydot If f(x) is ...

    Text Solution

    |

  14. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  15. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  16. Evaluate ("Lim")(x->0)[1/(x^2)-1/(sin^2x)] using LHospitals Rule or ot...

    Text Solution

    |

  17. Evaluate ("Lim")(x->0)(1+sinx-cosx+ln(1-x))/(x tan^2x) using LHospital...

    Text Solution

    |

  18. If ("Lim")(x->0)(asinx-b x+c x^2+x^3)/(2x^2dotln(1+x)-2x^3+x^4) exists...

    Text Solution

    |

  19. Evaluate: ("Lim")(x->0)(x^(6000)-(sinx)^(6000))/(x^2dot(sinx)^(6000))

    Text Solution

    |

  20. If lim(x->0)(1-cosx.cos2x.cos3x ....cosn x)/x^2 has the value equal to...

    Text Solution

    |