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Solve the differentiate equation (dy)/(d...

Solve the differentiate equation `(dy)/(dx)=1/(1+x^(2)),y(0)=3`.

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
  1. Using elementary transformations, find the inverse of matrix {:[(4,3...

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  2. Evaluate int"tan" x dx.

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  3. Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3.

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  4. Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...

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  5. Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -...

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  6. If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...

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