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A DAS GUPTA-Application of dy/dx-Exercise
- 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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- A stick of length 100 cm rests against a vertical walland the horizont...
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- A man running along a circular track has the speedof 10 km per hour. A...
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- A point is moving along the curve y^(3)=27x. The interval in which the...
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- A particle is moving along the parabola y^2 = 12x at the uniform rate ...
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- A spherical balloon is being inflated so that itsvolume increases unif...
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- The time t of a complete oscillation of a simple pendulum of length l ...
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- The time t of a complete oscillation of a simple pendulum of length l ...
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- A spherical iceball is melting, such that the radius is decreasing at ...
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- Use differentials to obtain a resonable approximation to (8. 01)^(4/3)...
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- Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...
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- A spherical rain drop evaporates at a rate proportional to its surf...
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- The law of rectilinear motion of a body of mass 10kg is given by s = ...
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- The slope of the tangent to the curve r^2 = a^2 cos 2theta, where x = ...
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- A balloon is pumped at the rate of 10 cu cm/min. The rate of increase ...
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- If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...
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- The angle between the curves y = sinx and y = cosx is
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