Use linear approximation, i.e. the tangent line, to approximate 4.85 as follows: Let f(x) = x5. The equation of the tangent line to f(x) at x = 5 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 4.85 is
Use linear approximation, i.e. the tangent line, to approximate 4.85 as follows: Let f(x) = x5. The equation of the tangent line to f(x) at x = 5 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 4.85 is
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, i.e. the tangent line, to approximate \(4.8^5\) as follows:
Let \( f(x) = x^5 \). The equation of the tangent line to \( f(x) \) at \( x = 5 \) can be written in the form \( y = mx + b \)
where \( m \) is: [blank]
and where \( b \) is: [blank]
Using this, we find our approximation for \( 4.8^5 \) is [blank].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F1a00af18-4e1c-46d5-b3c7-352c48a32e32%2Fbypvpl4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate \(4.8^5\) as follows:
Let \( f(x) = x^5 \). The equation of the tangent line to \( f(x) \) at \( x = 5 \) can be written in the form \( y = mx + b \)
where \( m \) is: [blank]
and where \( b \) is: [blank]
Using this, we find our approximation for \( 4.8^5 \) is [blank].
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