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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
- Check if the relation R on set of real numbers, defined as R = {(a,b) ...
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- Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Let A and B are symmetric matrices of the same order. Prove that AB is...
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- Express abs((a^2,2ab,b^2),(b^2,a^2,2ab),(2ab,b^2,a^2)) in the form of ...
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- Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...
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- Discuss the continuity and differentiability of function f(x)=|x|+|x-1...
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- If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2
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- Find dy/dx for (x+y)^(cosx) = e^(x+y).
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- Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx
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- Evaluate : int (cos px + cos qx)/(sin px + sin qx) dx.
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- Evaluate int (4x-5)/(x^2-x-2)dx
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- FInd the area of the region bounded by y^2 = x and y = x.
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- Solve : dy/dx (x^2 - 1) + 2xy = 1.
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- Form the differential equation for : y = a sin^-1 x + b cos^-1 x.
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- Find the point of intersection of the line 2x - 4= 3y = z with plane x...
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- Find the equation of the plane parallel to x - 5y + z + 1 =0 and at a ...
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- If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...
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- If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...
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- Exaniming consistency and solvability, solve the following equations b...
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