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- A sheet of area 40m^2 is used to make an open tank with square base. F...
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- Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients...
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- Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^...
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- Find the points on the curve 5x^2-8x y+5y^2=4 whose distance from the ...
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- If d is the minimum distance between the curves f(x)=e^x a n dg(x)=(l...
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- L L ' is the latus rectum of the parabola y^2= 4ax and PP' is a doubl...
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- Let f(x0 be a non-constant thrice differentiable function defined on (...
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- The tangent to the parabola y=x^2 has been drawn so that the abscissa ...
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- Points on the curve f(x)=x/(1-x^2) where the tangent is inclined at an...
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- The sum of the perimeter of a circle and square is k, where k is so...
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- Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)
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- If f is a continuous function on [0,1], differentiable in (0, 1) such ...
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- Separate the intervals of monotonocity for the function f(x)=-2x^3-9x^...
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- Given g(x)=(x+2)/(x-1) and the line 3x+y-10=0. Then the line is tangen...
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- Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prov...
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- Let f be a continuous, differentiable, and bijective function. If the ...
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- Find the intervals of decrease and increase for the function f(x)=cos(...
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- If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that ...
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- Find the interval of monotonocity of the function f(x)=|x-1|/x^2dot
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- A continuous and differentiable function y=f(x) is such that its graph...
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