Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the value of the error. (Round your answers to six decimal places.) sinh(0.7) ≈ 0.7 + (0.7)3 3! R30.043333 R₂ = 0.0014 X X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
icon
Related questions
Question
Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the value of the error. (Round your answers to six decimal places.)
(0.7) 3
3!
R3 ≤
R3
sinh(0.7) ~ 0.7 +
0.043333
= 0.0014
X
X
Transcribed Image Text:Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the value of the error. (Round your answers to six decimal places.) (0.7) 3 3! R3 ≤ R3 sinh(0.7) ~ 0.7 + 0.043333 = 0.0014 X X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax