Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(a) Find the binomial series for (1+¹/² up to and including terms in x².

(a) Find the binomial series for (1+¹/² up to and including terms in x².

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 me solve this practice A-level math question :)

6. (a) Find the binomial series for (1+¹/² up to and including terms in x². (b) Given that (1+¹)¹/² = √5 use your expansion in part (a) to determine an approximation for √5, leaving your answer as a fraction. (c) Determine the first derivative of y = (1 + =)¹/². (d) By differentiating the terms in your series in part (a), and using your answer to part (c), find an expansion for (1+)-¹/² up to and including terms in x. (e) Given that (1+¹)-¹/² = use your expansion in part (d) to determine another approximation for √5, leaving your answer as a fraction. (f) Without using a calculator, state with justification which of your approximations for √5 is expected to be most accurate.
Transcribed Image Text:6. (a) Find the binomial series for (1+¹/² up to and including terms in x². (b) Given that (1+¹)¹/² = √5 use your expansion in part (a) to determine an approximation for √5, leaving your answer as a fraction. (c) Determine the first derivative of y = (1 + =)¹/². (d) By differentiating the terms in your series in part (a), and using your answer to part (c), find an expansion for (1+)-¹/² up to and including terms in x. (e) Given that (1+¹)-¹/² = use your expansion in part (d) to determine another approximation for √5, leaving your answer as a fraction. (f) Without using a calculator, state with justification which of your approximations for √5 is expected to be most accurate.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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