4. Find the linear approximation to g(x) = √√x at x = 2. Use the linear approximation to approximate the value of 3 and 10. Compare the approximated values to the exact values. Write the linear approximation in exact form; then use your calculator to determine the approximated values and exact values to the nearest thousandth place. What is the percent error of each? Which linear approximation value is much closer to the exact value than the other? Why?
4. Find the linear approximation to g(x) = √√x at x = 2. Use the linear approximation to approximate the value of 3 and 10. Compare the approximated values to the exact values. Write the linear approximation in exact form; then use your calculator to determine the approximated values and exact values to the nearest thousandth place. What is the percent error of each? Which linear approximation value is much closer to the exact value than the other? Why?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![4. Find the linear approximation to g(x) = √√x at x = 2. Use the linear approximation to approximate the value of 3
and 10. Compare the approximated values to the exact values. Write the linear approximation in exact form;
then use your calculator to determine the approximated values and exact values to the nearest thousandth place.
What is the percent error of each? Which linear approximation value is much closer to the exact value than the
other? Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9688209e-eaf2-4fb2-a6cd-f0d5c564482f%2F818cf862-c22c-47e7-b9cf-a21518d429fb%2Fh599xv_processed.png&w=3840&q=75)
Transcribed Image Text:4. Find the linear approximation to g(x) = √√x at x = 2. Use the linear approximation to approximate the value of 3
and 10. Compare the approximated values to the exact values. Write the linear approximation in exact form;
then use your calculator to determine the approximated values and exact values to the nearest thousandth place.
What is the percent error of each? Which linear approximation value is much closer to the exact value than the
other? Why?
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