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
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
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefc5fe9e-01b6-496e-8568-39ee2691c6b7%2F378d75be-5281-457b-a2a7-c3b19d0a615e%2Fll8056j_processed.png&w=3840&q=75)
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
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