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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
- Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...
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- Find the area of the parallelogram whose diagonals are vectors 3hati+h...
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- Determine the value of m, for which the following vectors are orthogon...
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- find the equation to the plane passing through the line x=y=z and the ...
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- Find the image of the point (-2,0,3) with respect to the plane y = 3.
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- Shade the feasible region for the inequations 2x+3yle6,xge0,yge0 in a ...
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- Find n and x, given that: (1+x)^n =1+3/4+((3)(5))/((4)(8))+((3)(5)(7...
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- Prove that: A = ([3,1],[-1,2]) impliesA^2-5A+7I =0.
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- Test whether the following system of equations have non zero solution....
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- Two dice are rolled in succession. Find the probability that the first...
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- A and B are two events. If P(A)=3/8,P(B) =1/2 and P(AnnB)=1/4 then fin...
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- Prove that y=tan^(-1)sqrt((1+sinx)/(1-sinx))rArr(dy)/(dx)=1/2
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- x^py^q= (x+y)^(p+q)implies(dy)/(dx)=y/x
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- Find the following limits:lim(xrarr1)(1/(x-1)-1/(lnx))
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- Find the following limits:lim(xrarr1)(2-x)^("cosec"pix)
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- Discuss the extreme value of the function y=(x+2)^4(x-1)^5
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- Find intx^2(sin^4x+cos^4x)dx
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- Evaluate the following integrals : int(dx)/((x-2)sqrt(x^(2)-16x+64))
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- Solve (x-y+1)dx-(x+y+5)dy=0
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- Prove that [vec(p) - vec(q) vec(q) - vec(r) vec(r) - vec(p)] = 0
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