rounded to 6-digit floating-point numbers. Use the Regula Falsi method to find an approximation py of the root of the function in [-3,-1] satisfying RE(PNPN-1) < 10-6. Show your work by filling in the output table below (as with the Bisection method, the column labelled by f(an)f(pn) is for appropriate letter signs +, -; in order to evaluate the (first) relative error associated with the approximation Pi Po, assume formally that po = -3; please enter an asterisk* in each input field in the unnecessary rows): n 1 f(x)= x - sin(2.88x + 3.971) +2.88 2 3 an Pn bn f(an) f (Pn)
rounded to 6-digit floating-point numbers. Use the Regula Falsi method to find an approximation py of the root of the function in [-3,-1] satisfying RE(PNPN-1) < 10-6. Show your work by filling in the output table below (as with the Bisection method, the column labelled by f(an)f(pn) is for appropriate letter signs +, -; in order to evaluate the (first) relative error associated with the approximation Pi Po, assume formally that po = -3; please enter an asterisk* in each input field in the unnecessary rows): n 1 f(x)= x - sin(2.88x + 3.971) +2.88 2 3 an Pn bn f(an) f (Pn)
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
Numerical Analysis and Its
Applications
Transcribed Image Text:4
5
6
7
8
9
Accordingly,
PN =
Check
![(Regula Falsi Method). All numerical answers should be
rounded to 6-digit floating-point numbers.
Use the Regula Falsi method to find an approximation PN of
the root of the function
in [-3,-1] satisfying
RE(PNPN-1) < 10-6.
Show your work by filling in the output table below (as with
the Bisection method, the column labelled by f(an) f (Pn) is
for appropriate letter signs +, -; in order to evaluate the
(first) relative error associated with the approximation
P1 Po, assume formally that po = -3; please enter an
asterisk * in each input field in the unnecessary rows):
n
1
f(x) = x - sin(2.88x + 3.971) + 2.88
2
3
an
Pn
bn
f(an) f (Pn)
RE(Pn](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3361ca50-fe39-4902-8c9b-25c25195dd96%2F16ae0112-1944-4633-a367-dfc2eebe260e%2Fxf975ib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Regula Falsi Method). All numerical answers should be
rounded to 6-digit floating-point numbers.
Use the Regula Falsi method to find an approximation PN of
the root of the function
in [-3,-1] satisfying
RE(PNPN-1) < 10-6.
Show your work by filling in the output table below (as with
the Bisection method, the column labelled by f(an) f (Pn) is
for appropriate letter signs +, -; in order to evaluate the
(first) relative error associated with the approximation
P1 Po, assume formally that po = -3; please enter an
asterisk * in each input field in the unnecessary rows):
n
1
f(x) = x - sin(2.88x + 3.971) + 2.88
2
3
an
Pn
bn
f(an) f (Pn)
RE(Pn
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