Question
Asked Oct 18, 2019

Use a linear approximation (or differentials) to estimate the given number.

  sqrt(100.8)
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Step 1

Given that

V100.8
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V100.8

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Step 2

To find out the given number using linear approximation

Step 3

We know th...

lim x +Ar)- f(x)
f (x)
Ax
x0
For small value of Ax we can say that
f(x+Ax)- f(x)
f(x)
Ax
f(x+Ax)-f(x) f(x)x Ax
f(x+Ax) f(x)+f'(x)x Ax
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lim x +Ar)- f(x) f (x) Ax x0 For small value of Ax we can say that f(x+Ax)- f(x) f(x) Ax f(x+Ax)-f(x) f(x)x Ax f(x+Ax) f(x)+f'(x)x Ax

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