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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
- Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Evaluate: int(log sinx )/(tan x)dx.
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- Evaluate int(dx)/(x(x^(5)+3)).
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Determine the area the of the region between the curves y=cos x and y=...
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- Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x
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- Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca...
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- Show by vector method that the line joining the points (1, 4, 2) and (...
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Find the equation of the plane passing through the line x = y = z and ...
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- Find the co-ordinates of a point where the line (x- 2)/3 = (y+1)/4 = (...
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- Solve for x tan^-1 ((2x)/(1 - x^2)) + cot^-1 ((1 - x^2)/(2x)) = pi/3(-...
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- Find graphically the maximum value of z = 2x + 5y subject to the const...
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- Find the values of a and b such that the function f defined by f(x) = ...
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- Find (dy)/(dx) if y = x^x + (sinx)^x.
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- Find the equations of the tangent to the curve y = x^(2) - 2x + 7, whi...
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- Evaluate:- int(x sin^-1x)/sqrt(1- x^2) dx.
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- Evaluate int0^ pi x/(1+ sin x) dx
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- If veca,vecb and vecc are three vectors such that |veca|= 3,|vecb|= 4 ...
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