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MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
- Show that 2 sin x + than x ge 3x all x in (0, pi/20).
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- Find the following limits:lim(xrarr0+)logtanx tan2x
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- Find the approximate value of root(6)(63).
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- Evaluate : intx^(2)tan^(-1)xdx.
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- Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))
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- Find the area of the circle x^2+y^2=2ax.
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- Find the particular solution ofthe differential equation (d^2y)/(dx^2)...
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- Solve the following differential equation (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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- Prove that the lines joining the midpoints of consecutive sides of a q...
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- Prove that : [(vec a × vec b) (vec b × vec c) (vec c × vec a)] = [vec ...
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- If vec a, vec b, vec c are mutually perpendicular vectors of equal mag...
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- Prove that the measure of the angle between two main diagonals of a cu...
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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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- Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...
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- Find the feasible region the the following system of equations 2y-xge0...
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- Solve the following equations by cramer's rule : 7x+y+1 = 0, x+13y+5 =...
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- If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...
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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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