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

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

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SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
  1. Write the equation of the plane perpendicular to y-axis at the point (...

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

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

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

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

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

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

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

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

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

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

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

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  13. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  14. Prove that the measure of the angle between two main diagonals of a cu...

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  15. Prove by vector method that the lines joining the mid points of consec...

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  16. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

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  17. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

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  18. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

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  19. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

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  20. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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