Find the linear approximation of the function f(x)=4−x at a=0 Use L(x) to approximate the...

abondantQ

abondantQ

Answered

2021-06-01

Find the linear approximation of the function f(x)=4x at a=0
Use L(x) to approximate the numbers 3.9 and 3.99 Round to four decimal places

Answer & Explanation

estenutC

estenutC

Expert

2021-06-02Added 81 answers

This solution should help you:

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Jeffrey Jordon

Jeffrey Jordon

Expert

2021-09-09Added 2575 answers

L(x)=214(x)

Since you are looking for v 3.9, substiute x=0,1 so that 40,1=3,9

L(0,1)=f(3.9)=2(0.14)=1.975

Now substitute x=0,01

L(0,01)=f(3,99)=2(0.014)=1.9975

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