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MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE
- Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x
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- Evaluate : intx^(2)tan^(-1)xdx.
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- int0^ax^3(a^2-x^2)^(5/2)dx
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- Evaluate:int0^a dx/(e^(4x)-5)
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- Evaluate int-1^2 {|x\|+[x]}dx
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- Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Find the value of a for which the plane x+y+z-a=0 will touch the spher...
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- If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...
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- Find the equation of the plane through the point (2,1,0) and passing t...
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- Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...
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- If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...
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- Five boys and four girls randomly stand in a line. Find the probabilit...
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- If a random variable X has a binomial distribution B (8,1/2) then find...
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- A cricket team consisting of 11 players is to be chosen from 8 batsmen...
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- Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]
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- If P(n-1,3):P(n+1,3)=5:12, find n.
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- Solve by Cramer’s rule 2x-y=2, 3x+y=13
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- If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.
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