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SHARAM PUBLICATION-MODEL QUESTION PAPER 20-EXERCISE
- Find the scalar projection of the vector 2hati+hatj+5hatk on the vect...
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- Find the direction cosines of the line (x-4)/3=(y-2)/6=(z-1)/3.
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- Evaluate int tan 3x dx.
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...
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- If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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- Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].
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- f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0
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- Find(dy)/(dx) when y=e^(x-y).
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- If y =2^(x^2)+ tan^(-1)2x then find (dy)/(dx).
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- Find dy/dx when siny=cos(x+y).
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Integrate int e^x tan e^x dx.
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- Evaluate int (e^x-1)/(e^x+1) dx
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...
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- Solve(x log x )dy/dx+y=2 log x.
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- Show that the relation R defined on the set Z of all integers defined ...
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- If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...
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- Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17).
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