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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
- Give example of a function which is increasing in (-oo,2) and (3,oo) a...
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- What is the value of int e^(x)dx.
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- Write the solution of sqrt 3x+dy/dx=2.
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- Write the equation of the line passing through the points (3,-2,-5) an...
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- Find the volume of parallelopiped with edges 2vec i-3vec j ,vec i +vec...
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- Show that the relation R on the set A = {1,2,3,4,5) given by R = {(a,b...
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- Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...
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- A merchant sells two models X and Y of TV with cost price ₹ 25000 and ...
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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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- Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab
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- Using determinants, find the values of a if the area of triangle with ...
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- If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...
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- Using properties of determinant prove that |{:(alpha,beta,gamma),(alph...
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- Differentiate tan^-1((2x)/(1-x^2)).
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- Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...
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- Find dy/dx if y=(cosx)^x.
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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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- Find the interval where y=sin2x-cos2x,xin[0,2pi] is (a) incresing (b)...
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- Evaluate:int (sin x-xcosx)/(x(x+sinx)) dx.
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- Integrate : int sin^(-1)xdx.
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