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

Isaiah Alsup

Isaiah Alsup

Answered question

2021-11-12

Use a linear approximation (or differentials) to estimate the given number.
(1.999)5

Answer & Explanation

Coldst

Coldst

Beginner2021-11-13Added 18 answers

Given term is (1.999)5
Let x=1.999
Nearest value is 2(a=2)
f(a)=a5
f(2)=25=32
f(a)=5a4=5(2)4=80
Estimation of the number (1.999)5
y=f(a)+f(a)(xa)
y=32+80(1.9992)
y=320.008
y=31.92

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