(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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
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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
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