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SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
- Evaluate: underset(x rarr0^+)lim log(tan x)tan2x.
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- Find the approximate value of root(6)(63).
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- Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).
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- Find the area of the circle x^2+y^2=2ax.
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- Evaluate: int x^2 tan^(-1)xdx.
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- Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))
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- Solve the following differential equations (x+2y^3)(dy)/(dx)= y
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- Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...
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- Find the particular solution ofthe differential equation (d^2y)/(dx^2)...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Prove by vector method that the lines joining the mid points of consec...
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- Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2
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- Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...
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- Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0
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- Find the equation of the plane through the points (1, 2, -3), (2,3, -4...
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- Find the perpendicular distance of the point (-1,3,9) from the line (x...
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- If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...
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- How many four digits even numbers with distict digits can be formed ou...
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- Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...
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