Answers should be in decimal form. Up to two decimal places only.

in Calculus Answers by Level 2 User (1.4k points)

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1 Answer

Let y=eˣ, dy/dx=eˣ. When x=a=0, dy/dx=1 which is the slope of the linear approximation near x=0.

Therefore L(x)-1=x, L(x)=1+x. When x=0.06, L(0.06)=1.06.

True value of e^0.06=1.06183...

Error=0.00183/1.06183=0.00173, or 0.17% approx.

by Top Rated User (1.0m points)

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