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- cot^-1(-x) = pi - cot^-1x , x in R
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- If absA = 2, absB = 5 then abs(AB) = 10
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- The derivative of sinsqrtx w.r.t. sqrtx is cossqrtx
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- int(-pi/2)^(pi/2)sinxdx = 0
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- The number of arbitrary constants in the particular solution of a diff...
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- Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2.
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- The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...
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- If P(A) = 1/2, P(B) = 7/12 and P(not A or not B) = 1/4, then A and B a...
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- Find x, y and z if [[x,+,y,,2],[5,+,z,,xy]]=[[6,2],[5,8]]
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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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