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Using differential, find the approximate value of `(0.999)^(1/10)`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Using differentials, find the approximate value of the following: (17/...

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  2. In the following, find the approximate values, using differentials: (3...

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  3. Using differential, find the approximate value of (0.999)^(1/10)

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  4. In the following, find the approximate values, using differentials: (3...

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  5. Using differentials, find the approximate value of the following: 33^...

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  6. Find the approximate value of : f(3,02), where f(x) = 3x^2 + 15x + 3

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  7. Find the approximate value of f(5·001), where f(x) = x^3-7x^2+15.

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  8. Find the approximate change in the volume V of a cube of side 'x' metr...

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  9. Find the approximate change in the surface area of a cube of side x me...

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  10. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm...

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  11. Use differentials to find cos61^@, it being given that sin60^@ = 0.866...

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  12. If y = x^4-10 and if x changes form 2 to 1.99, what is approximate cha...

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  13. Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.

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  14. Use differenttials, find the approximate value of the following: sin(2...

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  15. Use differenttials, find the approximate value of the following: cos(1...

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  16. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

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  17. A circular metal plate expands under heating so that its radius increa...

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  18. Find the percentage error in calculating the surface area of a cubical...

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  19. The radius of a spherical diamond is measured as 6 cm with an error of...

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  20. Find the maximum or minimum values, if any, of the following functions...

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