Use a linear approximation to estimate the number 8.07 <mrow class="MJX-TeXAtom-ORD">

nidantasnu 2022-07-12 Answered
Use a linear approximation to estimate the number 8.07 2 / 3
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Answers (2)

Keely Fernandez
Answered 2022-07-13 Author has 14 answers
If you use f ( x ) = x 2 / 3 , you have f ( x ) f ( a ) + f ( a ) ( x a ). f ( x ) = 2 3 x 1 / 3 . If you plug in a = 8, f ( 8 ) = 1 3 , so f ( 8.07 ) = 4 + 0.07 / 3 = 4.02333. The real answer is 4.023299
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Dayanara Terry
Answered 2022-07-14 Author has 4 answers
Take f ( x ) = x 2 / 3 and a = 8. Then
f ( x ) = x 2 / 3 f ( x ) = 2 3 x 1 / 3 f ( a ) = 2 3 8 1 / 3 = 1 3
So f ( a ) + f ( a ) ( x a ) = f ( 8 ) + 1 3 ( .07 ) = 4 + 1 3 ( .07 ) 4.023
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