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(a)Show that,if x is small enough for its cube and higher powers to be 1 neglected, = 1-x +. by putting x =show that 1+x 2 83 V7 x 2 128

(a)Show that,if x is small enough for its cube and higher powers to be 1 neglected, = 1-x +. by putting x =show that 1+x 2 83 V7 x 2 128

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
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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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