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SHARAM PUBLICATION-MODEL QUESTION PAPER-4-EXERCISE
- Evaluate int-1^3[tan^(-1) (x/(x^2 + 1)) + tan^(-1) ((x^2 +1 )/x)]dx.
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- If p and q are the order and degree of the differential equation y((dy...
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- Find the projection of the vector hat(i) + 3hat(j) + 7hat(k) on the ve...
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- If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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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 following system. 2y- x ge 0, 6y - 3x ...
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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^x = e^(x-y).
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- Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...
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- Find the equation of the tangent to the curve x = y^2-1 at the point w...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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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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- If A and B are square matrices of same order, then show by means of an...
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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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