Toronto Math Forum
APM346-2012 => APM346 Math => Misc Math => Topic started by: Kun Guo on November 10, 2012, 05:33:03 PM
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Attached picture is a screen shot of online notes lecture 23. I was wondering if there is an addition r in front of sin(n*theta) in (12). Also, is there missing a^(-n) in calculating An and Cn?
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Good catch
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I don't understand, if in equation (12) we are plugging in r=a to eq(10) how is there still and r involved as a variable?
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I don't understand, if in equation (12) we are plugging in r=a to eq(10) how is there still and r involved as a variable?
We plug $r=a$ to recover coefficients (which do not depend on $r$). After they are recovered we plug them to the original expression for $u$ which still contains $r$.
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I was wondering if Cn has to be sin(nθ) instead of cos(nθ)?
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I was wondering if Cn has to be sin(nθ) instead of cos(nθ)?
Yes, corrected.