6. m(x) = 4- x, x) < 4 a Find the series expansion of m(x), in ascending powers of x. up to and including the x² term. Simplify each term. 1 b Show that, when x = the exact value of m(x) is ¥35 3 V c Use your answer to part a to find an approximate value for 35, and calculate the percentage error in your approximation.
6. m(x) = 4- x, x) < 4 a Find the series expansion of m(x), in ascending powers of x. up to and including the x² term. Simplify each term. 1 b Show that, when x = the exact value of m(x) is ¥35 3 V c Use your answer to part a to find an approximate value for 35, and calculate the percentage error in your approximation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![6.
m(x)=√4-x, [x] < 4
a Find the series expansion of m(x), in ascending powers of x, up to and including
the x term. Simplify each term.
b Show that, when x
1
1
9'
the exact value of m(x) is
√35
3
c Use your answer to part a to find an approximate value for 35, and calculate the percentage
error in your approximation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82c30eea-47c2-496e-83a0-43308aeccdb9%2Ff4b6efd3-58f9-4f16-b587-8e351d757086%2F24be8m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
m(x)=√4-x, [x] < 4
a Find the series expansion of m(x), in ascending powers of x, up to and including
the x term. Simplify each term.
b Show that, when x
1
1
9'
the exact value of m(x) is
√35
3
c Use your answer to part a to find an approximate value for 35, and calculate the percentage
error in your approximation.
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