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SHARAM PUBLICATION-MODEL QUESTION PAPER -1-EXERCISE
- Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0.
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- If sin y=(2t)/(1 + t^2),cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx...
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- Find the interval where the function f(x) = sin x + cos x, x in [0, 2p...
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- Show that no two normals to a parabola are parallel.
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- int(cos2x-cos2alpha)/(cosx-cosalpha)dx
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- Integrate: int0^(3/2)[x^2]dx
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- Solve : (x+y)dy +(x-y)dx = 0.
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- Solve: (x^2-1)dy/dx+2xy=1
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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- If veca, vecb and vecc are mutually perpendicular, show that [veca.(ve...
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- Find the direction cosines of the line (x + 2)/2 = (2y-7)/6 = (5 -z)/...
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- Find the equation of a plane biscting the line segment joining (-1,4,3...
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- Find the value of r, if the line (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...
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- If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).
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- Evaluate int0^pi x/(a^2 cos^2 x + b^2 sin^2 x) dx
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- Find the area bounded by the curve y = sin x from x = 0 to x = pi.
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- Show that the inverse of a bijective function is unique.
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- Prove that sin^-1(4/5)+ sin^-1(5/13)+ sin^-1(16/65)= pi/2
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- Find the coordinates of the foot of the perpendicular drawn from the p...
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