Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

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NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6

Prove that the radius of the right circular cylinder of greatest curve...
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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)/(x) has maximum at x = e.
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The two equal sides of an isosceles triangle with fixed base b are dec...
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Find the equation of the normal to the curve x^(2) = 4y which passes t...
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Show that the normal at any point θ to the curve x = a costheta + a th...
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Find the intervals in which the function f given by f(x) = (4sin x-2...
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Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...
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The area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1...
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A tank with rectangular base and rectangular sides, open at the top is...
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The sum of the perimeter of a circle and square is k, where k is some ...
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A window is in the form of a rectangle surmounted by a semicircular op...
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A point on the hypotenuse of a triangle is at distance a and b from th...
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Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...
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Find the absolute maximum and minimum values of the function f given b...
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Show that the altitude of the right circular cone of maximum volume th...
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Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...
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Show that the height of the cylinder of maximum volume that can be ins...
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Show that height of the cylinder of greatest volume which can be inscr...
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A cylindrical tank of radius 10 m is being filled with wheat at the ra...
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The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...
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