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Show that the minimum distance of a poin...

Show that the minimum distance of a point on the curve `(a^(2))/(x^(2)) + (b^(2))/(y^(2)) = 1` from the origin is a + b.

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Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from the origin.

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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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  2. Find the points on the curve y = x^2+1 which are nearest to the point ...

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  3. Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...

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  4. Show that the semi-vertical angle of a right circular cone of minimum ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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