Using linear approximation, calculate the approximate value of (2.01)* up to 2 decimal points.

Pranav Ward

Pranav Ward

Answered question

2022-09-13

Using linear approximation, calculate the approximate value of (2.01) up to decimal points.

Answer & Explanation

soyafh

soyafh

Beginner2022-09-14Added 17 answers

let
f ( x ) = x 5 f ( x ) = 5 x 4 So,  f ( 2 ) = 2 5 = 32 f ( 2 ) = 5 ( 2 ) 4 = 80
When x = 2.01 L ( 2.01 ) = 32 + 80 ( 2.01 2 ) = 32 + 80 ( 0.01 ) = 32.8 So,  ( 2.01 ) 5 = 32.8

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