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SHARAM PUBLICATION-QUESTION PAPER 2019-EXERCISE
- Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.
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- Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...
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- Find differential equation of the curve y=ae^(3x)+be^(5x).
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- Obtain the general solution of the following differential equations. (...
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- Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))
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- Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...
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- If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...
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- Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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- Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.
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- Find the vector equation of a plane which is at a distance of 3 units ...
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- If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- Determine the area common to the parabola y^2=x and the circle x^2+y^2...
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- Solve y^(2)+x^(2)dy/dx=xydy/dx.
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- Evaluate the following integrals int(dx)/(2cos^2x+3cosx)
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- Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1...
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- Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...
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- If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
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- Maximize:Z=10x1+12x2+8x3 "Subject to": x1+2x2 le 30 5x1 -7x3 ge 12 x1+...
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