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MODERN PUBLICATION-TEST PAPER 6-EXERCISE
- 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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- Find the particular solution of d^2 y/dx^2 =2x,given that x=0,y=2 and ...
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- Solve :-(x^2+y^2)dx-2xy dy=0
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- If with reference to the eight handed system of mutually perpendicular...
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- If vec a =(2,3,6), vec b=(2,-2,1), vec c=(-1,0,2), find the direction ...
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- Find the equation of the plane passing through (1, 3,4), (2, 1.-1) an...
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- Find the equation of the plane passing through the line (x-8)/3=(y+19)...
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- Find the distance of the point (-1,-5,-10) from the point of intersect...
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- Let A=Rxx R and be the binary operation on A defined by (a, b) *(c,d) ...
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- Let A=R-{3/5} Br f:ArarrA defined as f(x)=(3x+2)/(5x-3). Br show that ...
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- Prove the following: |[ax-by-cz,ay+bx,az+cx],[bx+ay,by-cz-ax,bz+cy],...
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- Find the inverse of the following matrices using elementary transforma...
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- Show that the homogenous system of equations x-2y+z = 0 x+y-z = 0 ...
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- (i) if x=sint, y= sinpt, then show that (1-x^2) d^2 y/dx^2 - x dy/dx +...
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