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Solve the following system of linear equ...

Solve the following system of linear equations by matrix method : `4x + 3y + z = 10, 3x - y + 2z = 8, x - 2y - 3z - 10.`

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
  1. Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...

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  2. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

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

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

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

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

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

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  8. Find the angle between the given lines (x-1)/3=(3-y)/-1=(3z+1)/6 and ...

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

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

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

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

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  13. Evaluate int"tan" x dx.

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

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

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

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

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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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