Let f(x) =tan(x). In the following we would like to calculate the erors. (a) (c) First write down the approximate polynomial, p3(2), for the function f(x) and identify the Taylor coefficients, ao,,az. Compute the relative error at x = π/4 if f(x) is approximated by p3(x) polynomial. Use the Lagrange reminder form to evaluate the upper bound of the error for some & € [0, π/4].
Let f(x) =tan(x). In the following we would like to calculate the erors. (a) (c) First write down the approximate polynomial, p3(2), for the function f(x) and identify the Taylor coefficients, ao,,az. Compute the relative error at x = π/4 if f(x) is approximated by p3(x) polynomial. Use the Lagrange reminder form to evaluate the upper bound of the error for some & € [0, π/4].
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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#c needed please help
![Let f(x) =tan(x). In the following we would like to calculate the erors.
(a)
First write down the approximate polynomial, p3(x), for the function f(x) and identify the Taylor
coefficients, ao,,az.
(c)
Compute the relative error at x = π/4 if f(x) is approximated by p3(x) polynomial.
Use the Lagrange reminder form to evaluate the upper bound of the error for some = [0, π/4].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd85641c-8b62-41c1-a4f7-a57b51438f44%2Fee1da9bb-2f26-4ef2-9b38-8678d64b4444%2Fmhckha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) =tan(x). In the following we would like to calculate the erors.
(a)
First write down the approximate polynomial, p3(x), for the function f(x) and identify the Taylor
coefficients, ao,,az.
(c)
Compute the relative error at x = π/4 if f(x) is approximated by p3(x) polynomial.
Use the Lagrange reminder form to evaluate the upper bound of the error for some = [0, π/4].
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