Use linear approximation, i.e. the tangent line, to approximate √16.1 as follows: Let f(x)=√x. The equation of the tangent line in slope-intercept form to f(x) at x = 16 can be written in the form y = mx + b where: m= b - Using this, we find our approximation for v16.1 is NOTE: For this last part, give your answer to at least 6 significant figures or use fractions to give the exact answer.
Use linear approximation, i.e. the tangent line, to approximate √16.1 as follows: Let f(x)=√x. The equation of the tangent line in slope-intercept form to f(x) at x = 16 can be written in the form y = mx + b where: m= b - Using this, we find our approximation for v16.1 is NOTE: For this last part, give your answer to at least 6 significant figures or use fractions to give the exact answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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![Use linear approximation, i.e. the tangent line, to approximate v16.1 as follows:
Let f(x)=√x.
The equation of the tangent line in slope-intercept form to f(x) at x = 16 can be written in the form y = mx + b where:
m
b
Using this, we find our approximation for v16.1 is
NOTE: For this last part, give your answer to at least 6 significant figures or use fractions to give the exact answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2F28658665-a522-4c63-9d56-6dce7cbb8d07%2Fhhlwkl8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate v16.1 as follows:
Let f(x)=√x.
The equation of the tangent line in slope-intercept form to f(x) at x = 16 can be written in the form y = mx + b where:
m
b
Using this, we find our approximation for v16.1 is
NOTE: For this last part, give your answer to at least 6 significant figures or use fractions to give the exact answer.
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