Concept explainers
Estimate using the Linear Approximation or linearization. Also, use a calculator to estimate the error.
Answer to Problem 1CRE
Solution:
The error is
Explanation of Solution
Given:
The expression is
Formula used:
Linear Approximation:
Calculation:
The expression is
Let
Now, find the derivative of the function
Find the value of
Now, find the estimate using Linear Approximation.
Use the formula:
Use the calculator to find the value of
We can rewrite it as:
Now, find the error in the Linear Approximation.
Hence, the error is
Conclusion:
With the help of the formula, wecould figure out the error in the Linear Approximation.
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Chapter 4 Solutions
EBK CALCULUS
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