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If f(x) = sqrt ((sec x -1)/(sec x + 1))...

If `f(x) = sqrt ((sec x -1)/(sec x + 1))` , find `f'( pi /3)`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Find f'(x) if f(x) = tan x^(tan x)

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  2. If y=e^acos^((-1)x),-1lt=x<1,s howt h a t (1-x^2)(d^2y)/(dx^2)-x(dy)/...

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  3. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

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  4. The area of the triangle formed by the vertices O, A, and B, where vec...

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  5. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

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  6. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

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  7. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

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  8. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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  9. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  10. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

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  11. check whether the relation R in the set N of natural numbers given by ...

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  12. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

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  13. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  14. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

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  15. Find the equation of the plane passing through the points (1,0,-2),(3,...

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  16. Differentiate sec^2 (x^2) with respect to x^2

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  17. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

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  18. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

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  19. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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  20. the function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) bo...

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