(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.
(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
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Please answer part b of the question
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
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