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Show that t height of the cylinder of gr...

Show that t height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle `alpha` is one-third that of the cone and the greatest volume of cylinver is `(4)/(27) pi h^(3) tan^(2) alpha`

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AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
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  9. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

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  10. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

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  11. Let f(x) = {(" "x e^(a x), x le 0),(x + a x^(2) - x^(3) , x ...

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  12. Find the intervals in which f(x) = int(0)^(x){e^(t) - 1)(t+1)(t-2)(t+4...

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  14. Let f, g, h be real valued functions defined on the interval [0, 1] by...

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  15. Find the equation of tangents to the curve y = cos(x+y), -2pi le x le ...

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  16. If f(x) = int(x)^(x^(2)) (t-1)dt, 1 le x le 2, find the greatest value...

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  17. Find intervals in which the function given by f(x) = (3)/(10)x^(4) - (...

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  18. Show that the function f given by f(x) = tan^(-1)(sin x + cos x), x gt...

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  19. Show that t height of the cylinder of greatest volume which can be ins...

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  20. Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...

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