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A DAS GUPTA-Application of dy/dx-Exercise
- Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the...
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- Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...
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- The equation of tangents to the curve y=cos(x+y), -2pi le x le 2pi tha...
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- Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.
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- If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meets the...
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- Show that the length of the portion of the tangent to the curve x^(2/3...
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- The sum of the intercepts made on the axes of coordinates by any tange...
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- Prove that the tangent at any point on the rectangular hyperbola xy = ...
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- Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...
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- If alpha, beta are the intercepts made on the axes by the tangent at a...
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- Show that the segment of the tangent to the hyperbola y = frac{a^2}{x}...
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- Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...
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- Find the equation of the normal to the curve y=(1+y)^y+sin^(-1)(sin^2x...
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- Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...
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- Find the equation of the normal to the curve x^2=4ywhich passes throu...
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- Find the points on the curve 9y^2=x^3 where normal to the curve makes ...
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- Prove that all normals to the curve x=acost+a tsint ,\ \ y=asint-a ...
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- Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...
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- Use calculus to find the conditiion that the line xcos theta + ysin th...
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- The volume of the cylindrical trunk of a tree is proportional to the c...
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