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FULL MARKS-SAMPLE PAPER 11-PART
- Find (dy)/(dx) where y=(tanx)/(x)
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- Integrate (8)/(sqrt(1-(4x)^(2)))+(27)/(sqrt(1-9x^(2)))-(15)/(1+25x^(2)...
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- Given n(A)=7,n(B)=8 and n(AcupB)=10 find n[(AcapB)].
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- Solve: -x^(2)+3x-2ge0
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- Prove that sinA+sin(120^(@)+A)+sin(240^(@)+A)=0.
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- Find the number of ways of arranging the letters of the word RAMANUJAN...
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- Find the last two digits of the number 7^(400)
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- If A=[[1,a],[0,1]] compute A^(4).
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- Solve: 2X+Y+[[-2,1,3],[5,-7,3],[4,5,4]]=0,X-Y=[[4,7,0],[-1,2,-6],[-2,8...
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- Compute lim(xto1)(x^(m)-1)/(x^(n)-1).
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- Differentiate (2x+1)^(5)(x^(3)-x+1)^(4) with respect to x.
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- Evaluate intx^(2)log2xdx
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- In a suvey of 5000 persons in a town, it was found that 45% of the per...
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- Find the range of the function f(x)=(1)/(2+sin3x).
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- (a) Solve (2x+1)^(2)-(3x+2)^(2)=0 (b) If alpha and beta are the root...
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- Evaluate: int(cosx)/(cos(x-a))dx.
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- Differentiate s(t)=root(4)((t^(3)+1)/(t^(3)-1)) with respect to t.
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- Find the equation of the straight lines passing through (8,3) and havi...
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- Population of a city in the years 2005 and 2010 are 1,35,000 and 1,45,...
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- Evaluate: lim(xto oo)x[3^((1)/(x))+1-cos((1)/(x))-e^((1)/(x))].
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