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MODERN PUBLICATION-SAMPLE PAPER 2016-EXERCISE
- Evaluate: int(2x+9)/(x+3)^2dx
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx
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- Solve dy + e^-y sin x dx = 0.
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- Solve: (x^2-1)dy/dx+2xy=1
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- Prove that |a+b| le |a| + |b| State when equality will hold,
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- For any three vectors veca,vecb,vecc show that [(veca-vecb) (vecc-veca...
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- The projection of a line segment overline(OP), through origin O, on th...
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- Find the equation of the plane passing through the point (-1,3,2) and ...
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- Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Find the feasible region of the following system 2x+yge6,x-yle3,xge0...
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- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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- Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...
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- If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...
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- How many 4 digit numbers each greater than 6000 can be formed with be ...
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- If m=""^nC2, prove that ""^nC2=3(n+1)C4.
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- If the ratio of the 3rd term from the beginning to the 3rd term from t...
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- Let A and B be events with P(A)=1/3,P(AuuB)=3/4,P(AnnB)=1/4, find P(Au...
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