Find the rate of change of the area of a...

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6

Find the rate of change of the area of a circle per second with respec...
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Using differentials, find the approximate value of each of the followi...
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Show that the function given by f(x)=(logx)/xhas maximum at x = e.
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The two equal sides of an isosceles triangle with fixed base b are ...
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Find the equation of the normal to curve x^2=4ywhich passes through t...
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Show that the normal at any point theta to the curve x=acostheta+at...
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Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...
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Find the intervals in which the function f given by f(x)=\ x^3+1/(...
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Find the maximum area of an isosceles triangle inscribed in the ellip...
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A tank with rectangular base and rectangular sides, open at the top...
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The sum of the perimeter of a circle and square is k, where k is so...
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A window is in the form of a rectangle surmounted by a semicircular...
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A point on the hypotenuse of a triangle is at distance a and b from t...
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Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...
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Find the absolute maximum and minimum values of the function f give...
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Show that the altitude of the right circular cone of maximum volume...
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Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...
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Show that the height of the cylinder of maximum volume that can be ...
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Show that height of the cylinder of greatest volume which can be insc...
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A cylindrical tank of radius 10 m is being filled with wheat at the r...
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The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...
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