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Differentiate tan^-1((sqrt(1 -x^2) )/x)...

Differentiate `tan^-1((sqrt(1 -x^2) )/x)` w.r.t `sin^-1((2x)/(1 + x^2))`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-4-EXERCISE
  1. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt3/2)]

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  2. Is the matrix [(1, 0, 0),(1, 1, 1),(2, -1, 1)] invertible?

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  3. Differentiate tan^-1((sqrt(1 -x^2) )/x) w.r.t sin^-1((2x)/(1 + x^2)).

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  4. An edge of a variable cube is increasing at the rate of 10cm//sec. Fin...

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  5. Evaluate int-1^3[tan^(-1) (x/(x^2 + 1)) + tan^(-1) ((x^2 +1 )/x)]dx.

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  6. If p and q are the order and degree of the differential equation y((dy...

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  7. Find the projection of the vector hat(i) + 3hat(j) + 7hat(k) on the ve...

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  8. If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...

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  9. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

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  10. If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...

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  11. Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17).

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  12. Find the feasible region of the following system. 2y- x ge 0, 6y - 3x ...

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  13. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

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  14. Find (dy)/(dx) when y^x = e^(x-y).

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  15. Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...

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  16. Find the equation of the tangent to the curve x = y^2-1 at the point w...

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  17. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  18. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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  19. The diagonals of a parallelogram are given by veca =2hati - 3hatj + 5h...

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  20. Find the image of the point (2, 3, 4) with respect to the plane x - y ...

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