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Shows that the triangle of greatest area...

Shows that the triangle of greatest area that can be inscribed in a circle is equilateral.

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Show that the rectangle of maximum area that can be inscribed in a given circle is a square.

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An isosceles triangle of vertical angle 2 theta is inscribed in a circle of radius a. Show that the area of triangle is maximum when theta = (pi)/(6) .

Find the area of greatest rectangle that can be inscribed in an ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 .

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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Show that the semi-vertical angle of a right circular cone of minimum ...

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  2. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  3. Shows that the triangle of greatest area that can be inscribed in a ci...

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  4. Determine the differentials in each of the following cases. y = x^3 - ...

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  5. Determine the differentials in each of the following cases. y = sin^2 ...

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  6. Determine the differentials in each of the following cases. y = (1 +sq...

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  7. Determine the differentials in each of the following cases. z = cos 2t...

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  8. Determine the differentials in each of the following cases. r = 4/(1 +...

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  9. Determine the differentials in each of the following cases. x^2y = 2

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  10. Determine the differentials in each of the following cases. xy^2 + yx^...

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  11. Find delta f and df when f(x) = 2x^2 - 1, x = 1, delta x = 0 cdot 02

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  12. Find delta f and df when f(x) = sqrtx , x = 16, deltax = 0.3

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  13. Find delta f and df when f(x) = (x+1)^3 , x =8, deltax = 0.04

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  14. Find delta f and df when f(x) = In (1+x), x = 1, deltax = 0.04

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  15. Find approximate values of the following : root(3)28

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  16. Find approximate values of the following : root(6)63

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  17. Find approximate values of the following : sqrt(48.96)

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  18. Find approximate values of the following : (1.99)^7

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  19. Find approximate values of the following : 2^(3.02)

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  20. Find approximate values of the following : sin59^@

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