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SHARAM PUBLICATION-MODEL QUESTION PAPER 20-EXERCISE
- 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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- Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0
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- Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...
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- The diagonals of a parallelogram are given by veca =2hati - 3hatj + 5h...
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- Find the image of the point (2, 3, 4) with respect to the plane x - y ...
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- Find the equation of planes passing throught the points (1,2,3),(1,-4,...
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- Prove that the lines x = ay + b, z = cy + d and x = a'y + b' , z= c'y ...
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- Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...
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