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Prove that the following. [[a,b,c],[a^2,...

Prove that the following. `[[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]`=(b-c)(c-a)(a-b)(bc+ca+ab)

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MODERN PUBLICATION-TEST PAPER 5-PROBLEM
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  6. Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...

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  7. If y=In(x^2 +y^2),then find dy/dx.

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  8. If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)

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  14. int(xe^x)/(1+x^2)dx

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  15. int0^pi(xdx)/(1+sinx)

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  16. Solve : (x + 2y^3)dy/dx = y.

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  17. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

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  18. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

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