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EXERCISES 4.2 Linear Approximations and Differentials Score: 40/120 4/12 answered Question 5 Next Textbook Videos [+] Use linear approximation, i.e. the tangent line, to approximate $\sqrt[3]{8.2}$ as follows: Let $f(x) = \sqrt[3]{x}$. The equation of the tangent line to $f(x)$ at $x = 8$ can be written in the form $y = mx + b$ where m is: and where b is: Using this, we find our approximation for $\sqrt[3]{8.2}$ is Question Help: Video Message instructor Submit Question Jump to Answer

          EXERCISES 4.2 Linear Approximations and Differentials
Score: 40/120 4/12 answered
Question 5
Next
Textbook Videos [+] 
Use linear approximation, i.e. the tangent line, to approximate $\sqrt[3]{8.2}$ as follows:
Let $f(x) = \sqrt[3]{x}$. The equation of the tangent line to $f(x)$ at $x = 8$ can be written in the form $y = mx + b$
where m is:
and where b is:
Using this, we find our approximation for $\sqrt[3]{8.2}$ is
Question Help: Video Message instructor
Submit Question Jump to Answer

EXERCISES 4.2 Linear Approximations and Differentials
Score: 40/120 4/12 answered
Question 5
Next
Textbook Videos [+]
Use linear approximation, i.e. the tangent line, to approximate √(8.2) as follows:
Let f(x) = √(x). The equation of the tangent line to f(x) at x = 8 can be written in the form y = mx + b
where m is:
and where b is:
Using this, we find our approximation for √(8.2) is
Question Help: Video Message instructor
Submit Question Jump to Answer

Added by Arthur L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Satish Yadav

03/15/2022

Step 1

The slope of the tangent line, m, is given by the derivative of f(x) at x=8. So, we need to find f'(x) and evaluate it at x=8. Show more…

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EXERCISES 4.2 Linear Approximations and Differentials Score: (40)/(120),(4)/(12) answered Textbook Use linear approximation, i.e. the tangent line, to approximate sqrt[3]{8.2} as follows: Let f(x)=sqrt[3]{x}. The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for sqrt[3]{8.2} is Question Help: Video Message instructor EXERCISES 4.2 Linear Approximations and Differentials Score:40/1204/12answered Progre Question 5 Next Textbook Videos[+] Use linear approximation, i.e. the tangent line, to approximate /8.2 as follows: Let f()=/x.The equation of the tangent line to f() at =8 can be written in the form y=mx+ b where m is: and where b is: Using this,we find our approximation for /8.2 is Question HelpVideoMessage instructor Submit Question Jump to Answer