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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...
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- If A and B are matrices of the same order and AB=BA, Then prove that ...
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- Solve by matrix method: 2x + 3y=1,4x+5y=3
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- If e^x+e^y=e^(x+y), find dy/dx.
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- If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)
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- Determine the values of x for which the function f(x)= x^x, xgt0 is in...
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- If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1/(sqrt(t^2+1))) then dy/dx is ...
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- Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...
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- Find the area of the region bounded by y=6x-x^2x-axis and between ordi...
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- intsin^-1sqrt(x/(a+x))dx=.
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- Solve : xdy/dx+y=xy^2
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- Evaluate int3^6sqrtx/(sqrt((9-x))+sqrtx)dx
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- Evaluate int-1^2 {|x\|+[x]}dx
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- The plane 4x+7y+4z+81=0 is rotated through a right angle about its lin...
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- If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec...
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- Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2h...
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- Integrate intdx/(x^4+1)
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- Solve x^2ydx-(x^3+y^3)dy=0.
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