Use a linear approximation (or differentials) to estimate the given number.100.4

Question

Use a linear approximation (or differentials) to estimate the given number.100.4
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Solution 1

To estimate the given number using linear approximation, we can use the function f(x) = √x. We know that √100 = 10, so we can use 100 as our "a" value, and 100.4 as our "x" value.

The formula for linear approximation is L(x) = f(a) + f'(a)(x - a).

First, we need to find the derivative of f(x) = √x Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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