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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
- Using elementary transformations, find the inverse of matrix {:[(4,3...
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- An open box is to be made of a square sheet of tin with side 20 cm, by...
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- Find the height of right circular cylinder of maximum volume that can ...
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- Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...
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- Find the angle between the given lines (x-1)/3=(3-y)/-1=(3z+1)/6 and ...
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- If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...
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- If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).
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- If y=sin^-1((2x)/(1+x^2)), then find dy/dx.
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- Evaluate underset(2)overset(4)int(x^(2)-1)dx.
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- Evaluate int"tan" x dx.
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- Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3.
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- Evaluate inte^(3x)"cos"5xdx
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- Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.
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- Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...
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- Find the particular solution of differential equations : [x sin^2(y/x)...
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- If f (x) = (3 -x^3)1/3, then find fof(x). Also, find f^-1.
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- Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...
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- For any two vectors vecaandvecb, prove that |veca+vecb|le|veca|+|vecb|...
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- If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).
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- Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...
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