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If y=sin^-1((2x)/(1+x^2)), then find dy/...

If `y=sin^-1((2x)/(1+x^2))`, then find `dy/dx`.

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
  1. If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...

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  2. If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).

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  3. If y=sin^-1((2x)/(1+x^2)), then find dy/dx.

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  4. Evaluate underset(2)overset(4)int(x^(2)-1)dx.

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  5. If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).

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  6. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

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  7. Find the equation of tangent to the curve y=3x^2-2x + 5 which is paral...

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  8. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

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  9. Evaluate inte^(3x)"cos"5xdx

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  10. Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.

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  11. Find the particular solution of differential equations : [x sin^2(y/x)...

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  12. If f(x) = (3 - x^3)(1//3) then find fof(x). Also find f^-1

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  13. Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...

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  14. For any two vectors vecaandvecb, prove that |veca+vecb|le|veca|+|vecb|...

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  16. Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)

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  17. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

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  18. An open box is to be made of a square sheet of tin with side 20 cm, by...

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  19. Find the height of right circular cylinder of maximum volume that can ...

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  20. Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

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