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].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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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