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Section 2.8 Linear Approximations and Differentials

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2.8 Exercises

Find the linearization L(x) of the function at a.

2. f(x) = 1/sqrt(2 + x), a = 0

Explain, in terms of linear approximations or differentials, why the approximation is reasonable.

16. (1.01)^6 ~ 1.06

24. Use differentials to estimate the amount of paint needed to apply a coat of pain 0.05 cm thick to a hemispherical dome with diameter 50 m.

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