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MODERN PUBLICATION-TEST PAPER 5-PROBLEM
- Evaluate : int1^2 x In x' dx
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- Name of curve which is represented by the solution of differential equ...
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- Find the distance between the parallel planes 2x-2y+z+1=0 and 4x-4y+2z...
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- In each of the problems given below, find the work done by a force vec...
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- Show that the relation R is in the set A={1,2,3,4,5} given by R={(a, b...
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- A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...
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- Let f, g: R rarr R defined by f(x) = |x| + x, g(x) = |x|-x for all x i...
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- Solve sin^(-1)(1-x)-2sin^(-1)x=frac[pi][2]
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- An animal feed company must produce 200kg of a mixture consisting of i...
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- 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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