a) The approximation for sin x using Maclaurin series expansion is x3 x5 For i. ii. iii. sin x x = ——▬▬▬▬▬▬▬ 3! 0.7853, find + - 5! TT the approximate value of sin π the true value of sin- the absolute and relative errors for part (1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
icon
Related questions
Question

q1 ab

a) The approximation for sin x using Maclaurin series expansion is
x3
3!
For
i.
ii.
iii.
TU
sin x x
= 0.7853, find
+
5!
TU
the approximate value of sin
TU
the true value of sin-
4
the absolute and relative errors for part (1)
b) Given the following operation
4.232 +2.0321 +5.43 2.38
Compute the most accurate value for the operation where each number has been
rounded to the certain decimal points
Transcribed Image Text:a) The approximation for sin x using Maclaurin series expansion is x3 3! For i. ii. iii. TU sin x x = 0.7853, find + 5! TU the approximate value of sin TU the true value of sin- 4 the absolute and relative errors for part (1) b) Given the following operation 4.232 +2.0321 +5.43 2.38 Compute the most accurate value for the operation where each number has been rounded to the certain decimal points
Expert 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