(b)If x is so small that its fourth and higher powers may be neglected show that (1 + x) + V(1- x) = a – bx? and find the numbers a and b.Hence by putting x 1 show that the sum of the fourth roots of 17 16 and of 15 is 3 9985 approximately.

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

Please answer part b of the question

QUESTION TWO
(a)Show that,if x is small enough for its cube and higher powers to be
neglected,
=1-x+. by putting x = show that
1+x
83
7 = 2 128
(b)If x is so small that its fourth and higher powers may be neglected
show that V(1 + x) + V(1 – x) = a – bx? and find the numbers a and
b.Hence by putting x
show that the sum of the fourth roots of 17
16
and of 15 is 3 - 9985 approximately.
cot tan
sin B-sin C
B+C
В-с
(c)Proove the following identity
sin B+sin C
2
2
Transcribed Image Text:QUESTION TWO (a)Show that,if x is small enough for its cube and higher powers to be neglected, =1-x+. by putting x = show that 1+x 83 7 = 2 128 (b)If x is so small that its fourth and higher powers may be neglected show that V(1 + x) + V(1 – x) = a – bx? and find the numbers a and b.Hence by putting x show that the sum of the fourth roots of 17 16 and of 15 is 3 - 9985 approximately. cot tan sin B-sin C B+C В-с (c)Proove the following identity sin B+sin C 2 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Frequency Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,