Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
ƒ(a + x) = f(a) + Σo_ x² d(n)f(x) an)f(x) = f(a) + xƒ'(a) + —ƒ"(a) + ¹ƒ''(a) + ·· . =1 n! dxn x=a By using the Taylor series, calculate sin 47°. (Hint: sin(45°) = 2)

ƒ(a + x) = f(a) + Σo_ x² d(n)f(x) an)f(x) = f(a) + xƒ'(a) + —ƒ"(a) + ¹ƒ''(a) + ·· . =1 n! dxn x=a By using the Taylor series, calculate sin 47°. (Hint: sin(45°) = 2)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

help with all parts if quesion thanks

(b) The Taylor series of f(x) about x = a can be expressed as ƒ(a + x) = f(a) + Σ%=1 xn_d(n)f(x) | n! dxn x=a . =ƒ(a) + xƒ'(a) +ƒ"(a) +¼ƒ''(a) + •n=1 3! By using the Taylor series, calculate sin 47º. (Hint: sin(45°) = 2) (Round your final answer to four decimal places. You should show the complete procedure of your calculation).
Transcribed Image Text:(b) The Taylor series of f(x) about x = a can be expressed as ƒ(a + x) = f(a) + Σ%=1 xn_d(n)f(x) | n! dxn x=a . =ƒ(a) + xƒ'(a) +ƒ"(a) +¼ƒ''(a) + •n=1 3! By using the Taylor series, calculate sin 47º. (Hint: sin(45°) = 2) (Round your final answer to four decimal places. You should show the complete procedure of your calculation).
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS