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b) Produce a power series for cos 3x as far as the term x³ c) Determine, using Pascal's triangle method, the expansion of (p - 3q)6

b) Produce a power series for cos 3x as far as the term x³ c) Determine, using Pascal's triangle method, the expansion of (p - 3q)6

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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a) The resonant frequency of a vibrating shaft is given by: f= 1/3m √√k/1, where k is the stiffness and I is the inertia of the shaft. Use the binomial theorem to determine the approximate percentage error in determining the frequency using the measured values of k and I when the measured value of k is 6% too large and the SINGSTOKE COLLEGE CHNOLOGY BCOT measured value of I is 2% too small 2 5 b) Produce a power series for cos 3x as far as the term x c) Determine, using Pascal's triangle method, the expansion of BTEC (p − 3q)6 This Provides Evidence for: D1 3
Transcribed Image Text:a) The resonant frequency of a vibrating shaft is given by: f= 1/3m √√k/1, where k is the stiffness and I is the inertia of the shaft. Use the binomial theorem to determine the approximate percentage error in determining the frequency using the measured values of k and I when the measured value of k is 6% too large and the SINGSTOKE COLLEGE CHNOLOGY BCOT measured value of I is 2% too small 2 5 b) Produce a power series for cos 3x as far as the term x c) Determine, using Pascal's triangle method, the expansion of BTEC (p − 3q)6 This Provides Evidence for: D1 3
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