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Using differentials, find the approxi...

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

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Let `y=sqrtx=x^{1/2}`
and `x=25`
`x+trianglex=26`
`impliestrianglex=1`
For `x=25,`
`y=(25)^{1/2}=5`
Let `dx=trianglex=1`
As`y=x^{1/2}`,
...
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RD SHARMA-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-Solved Examples And Exercises
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  2. Using differentials, find the approximate value of (66)^(1//3)

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

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

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

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

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

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

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

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  11. Using differentials, find the approximate value of sqrt(49. 5)

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  12. Using differentials, find the approximate value of (3. 968)^(3//2)

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  13. Using differentials, find the approximate value of (1. 999)^5

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  14. Using differentials, find the approximate value of sqrt(0. 082)

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  15. Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

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

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

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