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Using elementary transformations, find t...

Using elementary transformations, find the inverse of matrix
`{:[(4,3,1),(3,-1,2),(1,-2,-3)]:}`

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
  1. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

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  2. Solve the following system of linear equations by matrix method : 4x +...

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  3. Using elementary transformations, find the inverse of matrix {:[(4,3...

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  4. Evaluate int"tan" x dx.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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