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If x and y are connected parametrically ...

If `x` and `y` are connected parametrically by the equation without eliminating the parameter, find `(dy/dx)` `x=2 a t^2, y=a t^4`

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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find (dy/dx), if x=a t^2, y=2 a t

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  2. Find dy/dx if x=a(theta-sintheta) , y=a(1-costheta)

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  3. If x and y are connected parametrically by the equation without elimin...

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  4. If x and y are connected parametrically by the equation without elimin...

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  5. Find (dy)/(dx),x=sint,y=cos2t

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  6. Find dy/dx,x=4t,y=4/t

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  7. If x and y are connected parametrically by the equation without elimin...

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  8. If x and y are connected parametrically by the equation without elimin...

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  9. If x and y are connected parametrically by the equation without elimin...

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  10. If x and y are connected parametrically by the equation without elimin...

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  11. If x and y are connected parametrically by the equation without elimin...

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  12. If x and y are connected parametrically by the equation without elimin...

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  13. If x=a^(sin^(-1)t) , y=a^(cos^(-1)t) , a>0 , show that dy/dx=-y/x

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  14. Find (d^2y)/(dx^2), if y=x^3+tan x

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  15. If y=Asinx+Bcosx, then prove that (d^2y)/(dx^2)+y=0

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

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  17. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

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  18. Find the second order derivative of the following functions x^2+3x+2

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  19. Find the second order derivative of the following functions x^20

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  20. Find the second order derivative of the following functions xcosx

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