Use linear approximation (or differentials) to estimate: \sqrt{

Tomasettiq3

Tomasettiq3

Answered question

2021-11-13

Use linear approximation (or differentials) to estimate:
99.2
What am I supposed to do with this? I am not given x or dx

Answer & Explanation

Steacensen69

Steacensen69

Beginner2021-11-14Added 15 answers

Ue Taylor series for x about x=100. The reason to expand the Taylor series about 100 is that 100 is the closest square to 99.2.
f(x)=f(100)+f(100)(x100) + higher order terms
Hence,
99.2100+12(99.2100)100=100.04=9.96

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