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Write the set of values of k for which t...

Write the set of values of k for which the function `f (x) = kx-sinx` is increasing.

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SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
  1. Write the order of the differential equation of the system of ellipse ...

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  2. Write the value of lim(hrarr0) (tan^(-1)(1+h)-tan^(-1)1)/h.

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  3. Write the set of values of k for which the function f (x) = kx-sinx is...

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  4. If (2,3,5) is one end of a diameter of the sphere x^2+y^2+z^2-6x-12y-2...

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  5. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  6. There are 4 letters and 4 directed envelopes. Write the number of ways...

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  7. Write the probability that two persons have the same birthday (conside...

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  8. A line makes angles 60^(@) and 45^(@) with the positive direction of X...

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  9. Write the equation of the plane perpendicular to y-axis at the point (...

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  10. Show that (dy)/(dx) is independent of t . cos x=sqrt((1)/(1+t^(2))) an...

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  11. Find (dy)/(dx), when y^(x)=x^(siny)

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  12. Evaluate: underset(x rarr0^+)lim log(tan x)tan2x.

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  13. Find the approximate value of root(6)(63).

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  14. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

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  15. Find the area of the circle x^2+y^2=2ax.

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  16. Evaluate: int x^2 tan^(-1)xdx.

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  17. Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))

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  18. Solve the following differential equations (x+2y^3)(dy)/(dx)= y

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  19. Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...

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  20. Find the particular solution ofthe differential equation (d^2y)/(dx^2)...

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