Show that semi-vertical angle of right c...

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is `sin^-1(1/3)`.

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Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface area is cot^-1sqrt2

Show that the semi-vertical angle of the right-circular cone of maximum volume and of given slant height is cos^-1(1/sqrt3)

Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^-1sqrt2 .

Show that the height of a closed right-circular cylinder of given volume and least surface area is equal to its diameter.

Show that the height of the cylinder, open at the top of given surface area and greatest volume is equal to the radius of its base.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE

Show that the right circular cone of least curved surface and given vo...
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Show that the semi-vertical angle of the cone of the maximum volume an...
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Show that semi-vertical angle of right circular cone of given surface ...
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The point on the curve x^2 = 2y which is nearest to the point (0,5) is...
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For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:
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The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:
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Using differentials, find an approximate value of each of the followin...
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Using differentials, find an approximate value of each of the followin...
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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 slope of the normal to curve xy = 6 at point (1,6)
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Show that the normal at any point theta to the curve x = a cos theta +...
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Find the intervals in which the function f given by f(x) = (4 sinx-2x-...
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Find the intervals in which the function f given by f(x) = (4 sinx-2x-...
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Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
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Find the intervals in which the function f given by f(x) = x^3 + (1/x^...
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Find the maximum area of an isosceles triangle inscribed in the ellips...
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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 semi-circular o...
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