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MODERN PUBLICATION-TEST PAPER 5-PROBLEM
- Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- Find the inverse of the following matrices using elementary transforma...
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- If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0
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- Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...
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- If y=In(x^2 +y^2),then find dy/dx.
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- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...
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- Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...
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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- Evaluate int0^2abs(x^2+2x-3)dx
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- solve:ydx-xdy=xydx
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- int(xe^x)/(1+x^2)dx
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- int0^pi(xdx)/(1+sinx)
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- Solve : (x + 2y^3)dy/dx = y.
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- If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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- Find the direction cosines of the line which is perpendicular to the l...
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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