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- If A= [[cos alpha, -sin alpha],[sin alpha, cos alpha]] , then A + A'= ...
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- Prove that the tangents to the curve y = x^2-7x+12 at (3,0) and (4,0) ...
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- Integrate int(sin2x)/(a^2sin^2x+b^2cos^2x)dx
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- solve int-2^3abs(x-1)dx.
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- Find the area of the region bounded by (y^2=4ax) and its latus rectum ...
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- Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat ...
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- Solve : ((tan^-1 ((2x-3)/(2x-5)) + tan^-1((2x+3)/(2x+5)))=pi/4) .
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- Find a for which the function f defined as (f(x)={[(asin(pi/2)(x+1)if...
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- If (x=a sin (2t)(1+cos(2t)) and (y=b cos (2t) (1- cos(2t)), then show ...
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- int (dx)/(x^2 + 2x + 2) equals :
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- Evaluate (int0^(2pi) (1/(1+e^sinx))dx)
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- Show that the following differential equation is homogeneous and solve...
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- Solve the following differential equation : (((x^2+1)^2 dy/dx +4x(x^2+...
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- In a bolt factory, three machines A, B and C manufacturers 25, 35 and...
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- Solve by matrix method (3x-4y+2z=-1) (2x+3y+5z=7) (x+z=2)
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- If A=[[2,-1],[-1,2]],show that A^2-4A+3I=0.
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- Show that the points (0,-1,-1),(-4,4,4),(4,5,1) and (3,9,4) are coplan...
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- Find the length of the perpendicular from (2,-3,0) to line ((x+1)/2 = ...
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- Maximise (Z=(7x+6y)) subject to ((x+y)le59) , (2xyle80)
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- Minimise (Z=18x+10y) subject to ((4x+y)ge20),((2x+3y)ge30),(yge0) .
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