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MODERN PUBLICATION-TEST PAPER 3-PROBLEM
- Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...
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- Find the dy/dx when cos x = sqrt ((1)/(1+t^2)), sin y = (2t)/(1+t^2)
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- Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...
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- Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).
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- Evaluate : int (xe^x)/(x+1)^(2) dx
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- Evaluate the following integrals int(x^2)dx/((x^2+3)(x^2+2))
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- Solve : dy/dx + 1 = e^(x+y)
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- Solve : (x + 2y^3)dy/dx = y.
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- Find the equation of the plane passing through the points (2,1,3), (3,...
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- Find the image of the point (3,-2,1) in the plane x-y+3z=2.
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- Determine k such that a vector vec(r) is at right angles to each of th...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- Find the product of matrices A and B, where A = [[-5,1,3],[7,1,-5],[1,...
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- Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...
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- Find the inverse of the following matrices using elementary transforma...
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- If x=acos theta+bsin theta and y=a sin theta-bcos theta, then show tha...
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- Find the equation of the normal at a point on the curve x^(2) = 4y, wh...
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- Find the area of the smaller region bounded by the ellipse frac[x^2][a...
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- Prove analytically : The perpendicular bisector of the sides of a tria...
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