Use linear approximation to approximate √49.4 as follows. Let f(x)=√x. The equation of the tangent line to f(x) at x = 49 can be written in the form y = mx + b. Compute m and b. m = b = Using this find the approximation for √49.4. Answer:
Use linear approximation to approximate √49.4 as follows. Let f(x)=√x. The equation of the tangent line to f(x) at x = 49 can be written in the form y = mx + b. Compute m and b. m = b = Using this find the approximation for √49.4. Answer:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use linear approximation to approximate √49.4 as follows.
Let \( f(x) = \sqrt{x} \). The equation of the tangent line to \( f(x) \) at \( x = 49 \) can be written in the form \( y = mx + b \). Compute \( m \) and \( b \).
\[ m = \boxed{} \]
\[ b = \boxed{} \]
Using this find the approximation for \( \sqrt{49.4} \).
Answer:
\[ \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F31bb5821-3ac7-40f2-82a4-3e9948ae36f9%2F8b20c9r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use linear approximation to approximate √49.4 as follows.
Let \( f(x) = \sqrt{x} \). The equation of the tangent line to \( f(x) \) at \( x = 49 \) can be written in the form \( y = mx + b \). Compute \( m \) and \( b \).
\[ m = \boxed{} \]
\[ b = \boxed{} \]
Using this find the approximation for \( \sqrt{49.4} \).
Answer:
\[ \boxed{} \]
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