Show that the semi-vertical angle of a r...

Show that the semi-vertical angle of a right circular cone of minimum volume that circumscribes a given sphere is `sin^(-1) (1/3)`.

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Prove the semi-vertical angle of the right circular cone of given volume and least curved surface area is cot^(-1) sqrt(2) .

Find the altitude of a right circular cylinder of maximum volume inscribed in a sphere of radius r.

Show that the semi-vertical angle of right circular cone of given surface area and maximum volume is "cosec"^(-1) (3) .

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is cos^(-1) (1)/(sqrt(3)) .

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Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...
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Show that the semi-vertical angle of a right circular cone of minimum ...
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Determine the differentials in each of the following cases. y = x^3 - ...
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Determine the differentials in each of the following cases. y = sin^2 ...
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Determine the differentials in each of the following cases. y = (1 +sq...
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Determine the differentials in each of the following cases. r = 4/(1 +...
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Determine the differentials in each of the following cases. x^2y = 2
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Determine the differentials in each of the following cases. xy^2 + yx^...
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Find delta f and df when f(x) = (x+1)^3 , x =8, deltax = 0.04
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Find delta f and df when f(x) = In (1+x), x = 1, deltax = 0.04
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