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Using differentials, find the approxi...

Using differentials, find the approximate value of `(255)^(1//4)`

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To find the approximate value of \( (255)^{1/4} \) using differentials, we can follow these steps: ### Step 1: Choose a value of \( x \) We choose \( x = 256 \) because it is a perfect fourth power, and we know \( 256^{1/4} = 4 \). ### Step 2: Define the function Let \( y = x^{1/4} \). ...
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RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Solved Examples And Exercises
  1. Using differentials, find the approximate value of sqrt(401)

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  2. Using differentials, find the approximate value of (15)^(1//4)

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  3. Using differentials, find the approximate value of (255)^(1//4)

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  4. Using differentials, find the approximate value of 1/((2. 002)^2)

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

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  6. Using differentials, find the approximate value of (log)e 10.02 , i...

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  7. Using differentials, find the approximate value of (log)(10)10. 1 ,...

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  8. Find approximate value of 1/(sqrt(25. 1)) using differentials.

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  9. Using differentials, find approximate value of sin((22)/(14))

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  10. Approximate (80)^(1//4) using differentials

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

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  12. Using differentials, find the approximate value of (66)^(1//3)

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  13. Using differentials, find the approximate value of sqrt(26)

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  14. Using differentials, find the approximate value of sqrt(37)

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

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  16. Using differentials, find the approximate value of (82)^(1/4) upto ...

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  17. Use differentials to find the approximate value of (17)^(1/4)

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  18. Using differentials, find the approximate value of (33)^(1//5)

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  19. Using differentials, find the approximate value of sqrt(36. 6)

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  20. Using differentials, find the approximate value of 25^(1//3)

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