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MODERN PUBLICATION-SAMPLE PAPER 2014-EXERCISE
- Show that no two normals to a parabola are parallel.
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- Examine the differentiability of ln x^(2) for all real values of x.
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- Interpret Lagrange's mean value theorem geometrically.
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- Find the following limits:lim(xrarr0)(sinx/x)^(1/x)
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- Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))
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- Evaluate : int (xe^x)/(x+1)^(2) dx
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- Evaluate : int (0)^(3/2) [x^(2)]dx.
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- Find the area of the region bounded by the curve y=sin^(3)x and the st...
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- Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...
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- Solve : (x+y)dy +(x-y)dx = 0.
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- Find the differential equation whose general solution is ax^(2) + by =...
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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- Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...
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- Using the method of elemination find the symmetrical form of equation ...
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- If A and B are square matrices of same order, then show by means of an...
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- Five cities A,B,C,D,E are connected to each other by straight roads. W...
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- Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...
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- A person draws three cards at random one after another from a pack of ...
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- Evaluate int0^ pi x/(1+ sin x) dx
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