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Using differentials, find the approxi...

Using differentials, find the approximate value of `(log)_e 4.04` , it being given that `(log)_(10)4=0. 6021` and `(log)_(10)e=0. 4343` .

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The correct Answer is:
`0.606443`
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NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6c
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  3. Use differentials and find approximate value of (29)^(1//3)

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  4. Using differentials, find the approximate values of the following: s...

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  5. Using differentials, find the approximate value of sqrt(0. 48)

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  6. Using differentials, find the approximate values of the following: (...

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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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  10. Use differentials to find the approximate value of (log)e(4. 01), havi...

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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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  14. The radius of a circular plate increases by 2% on heating. If its rad...

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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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