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The two equal sides of an isosceles tria...

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Misellaneous Exercise on Chapter (6)
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  2. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

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  3. The two equal sides of an isosceles triangle with fixed base b are ...

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  4. Find the equation of the normal to curve y^(2)=4x at the point (1, 2).

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  5. Show that the normal at any point theta to the curve x=acostheta+at...

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  7. Find the intervals in which the function f given by f(x)=x^3+1/(x^3), ...

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  8. Find the maximum are of the isosceles triangle inscribed in the ell...

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  9. A tank with rectangular base and rectangular sides, open at the top...

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  14. Find the absolute maximum and minimum values of the function f give...

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  15. Show that the altitude of the right circular cone of maximum volume...

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  16. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

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  17. Show that the height of the cylinder of maximum volume that can be ...

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  18. Show that height of the cylinder of greatest volume which can be insc...

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  19. A cylindrical tank of radius 10 m is being filled with wheat at the r...

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  20. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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