Linear Approximations and Differentials

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Linear Approximations and Differentials
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Linear Approximations and Differentials
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Linear Approximations and Differentials
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Linear Approximations and Differentials
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Linear Approximations and Differentials
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Linear Approximations and Differentials
Find the linearization L(x) of the function at a.
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Linear Approximations and Differentials
Find the linearization L(x) of the function at a
0.
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Linear Approximations and Differentials
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Linear Approximations and Differentials
Differentials
f is a differentiable function and dx is is an
independent variable. The differential dy is
defined in terms of dx by
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Linear Approximations and Differentials
The radius of a sphere was measured and found to
be 21 cm. With a possible error in measurement of
at most 0.05 cm. What is the maximum error in
using this value of the radius to compute the
volume of the sphere?
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Linear Approximations and Differentials