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There is an error of 0.2% in measurment ...

There is an error of `0.2%` in measurment of the redius of a sphere. Find the percentage error in its
(i) volume, (ii) surface.

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The correct Answer is:
`(i) 0.6% (ii) 0.4%`
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NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6c
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  2. Using differentials, find the approximate values of the following: (...

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  3. Use differentials and find approximate value of (29)^(1//3)

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  7. Using differentials, find the approximate values of the following: 1...

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  8. Use differentials to approximate sqrt(25. 2)

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  9. Using differentials, find the approximate value of (0. 009)^(1//3)

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  11. Using differentials, find the approximate value of (log)e 4.04 , it...

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  12. If f(x) = 2x^(2)+5x+2, then find the approximate value of f(2.01).

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  13. If f(x)=3x^(2)+4x-1, then find the approximate value of f(3.1).

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  15. The radius of a sphere decreases from 10 cm to 9.9 cm. Find (i) appr...

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  16. The time t of a complete oscillation of a simple pendulum of length l ...

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  17. There is an error of 0.2% in measurment of the redius of a sphere. Fin...

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  18. The radius of a sphere is 8 cm and 0.02 cm is the error in its measure...

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  19. The semi-vertical angle of a cone remains constant. If its height inc...

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