(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 [SMarks] 128 (b)If x is so small that its fourth and higher powers may be neglected show that (1+ x) + (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. [SMarks] В-с - tan² sin B-sin C (c)Proove the following identity B+C cot- sin B+sin C [5Marks]
(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 [SMarks] 128 (b)If x is so small that its fourth and higher powers may be neglected show that (1+ x) + (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. [SMarks] В-с - tan² sin B-sin C (c)Proove the following identity B+C cot- sin B+sin C [5Marks]
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 a) of the question in the image uploaded
![QUESTION TWO
(a)Show that,if x is small enough for its cube and higher powers to be
x2
1
neglected, J1+x
x +. by putting x =show that
83
V7 x 2
128
[5Marks]
(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.
[5Marks]
sin B-sin C
В-с
(c)Proove the following identity
B+C
= cot
2
tan
sin B+sin C
[5Marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4b3e26d-5b4f-4deb-a189-66478a32055b%2F3058a570-dee2-4b94-91c7-8d4036a81889%2Ft404igq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION TWO
(a)Show that,if x is small enough for its cube and higher powers to be
x2
1
neglected, J1+x
x +. by putting x =show that
83
V7 x 2
128
[5Marks]
(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.
[5Marks]
sin B-sin C
В-с
(c)Proove the following identity
B+C
= cot
2
tan
sin B+sin C
[5Marks]
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