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At what point of x^2=2y the point (0,3) ...

At what point of `x^2=2y` the point (0,3) is nearest to the curve?

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the least value of a for which the function f defined by f(x)=x^...

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  2. For what value of K, Kf is increasing if f is increasing ?

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  3. At what point of x^2=2y the point (0,3) is nearest to the curve?

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  4. If theta+phi=pi/3, then for what value of a sin theta. Sin phi is maxi...

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  5. Write the absolute maximum and absolute minimum of the function f(x)=x...

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  6. Which condition of Rolle's theorem is violated by the functionf(x) = s...

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  7. Which condition of Rolle's theorem is violated by the functionf(x) =| ...

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  8. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

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  9. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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  10. Given f(2) = 6, (1) =4 find underset(hto0)lim(f(2+2h+h^2)-f(2))/(f(1+h...

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  11. If (f(x))^(n) = f(nx), find (f'(nx))/(f'(x)).

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  12. Evaluate d/dx(a^(sinx)+e^-x) by chain rule.

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  13. If f(x) = sin |x| -|x| , find f'(0^+)

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  14. Find the derivative of In sqrt((1-cosx)/(1+cosx)).

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  15. If y=cos^-1((a+bcosx)/(a+bcosx)) find dy/dx.

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  16. If y=tan^-1(cotx)+cot^-1(tanx), find (dy)/dx.

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  17. If y=tan^-1((3x-x^3)/(1-x^2)), find dy/dx.

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  18. If x=a((1+t^2)/(1-t^2)),y=(2t)/(1-t^2) find dy/dx at t=1/sqrt3.

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  19. If x=acos^30theta,y=bsin^30theta, find dy/dx.

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  20. If y=e^(x^(e^x)), find dy/dx.

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