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MODERN PUBLICATION-TEST PAPER 3-PROBLEM
- Write the minimum value of y2 where y=sin^2x cos^2x
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- Evaluate int-1^1e^|x| dx
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- Write the vector equation ofthe plane whose cartesian equation is x + ...
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- Let A (1,2,3). Then, find the number of equivalence relations containi...
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- Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) ...
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- Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...
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- If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.
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- Find the values of a and b, if the function f defined as f(x) {(x^2+3x...
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- 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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