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c7answers2009

Course: PHYSICS 312, Fall 2009
School: Harding
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312 Physics : Applied Mathematics Chapter 7 Homework Answers 5.1 5.5 5.7 6.1 f(x) = -2/(sin(nx)/n) f(x) = -2/(cosx cos(3x)/3 + cos(5x)/5 - ...) 4/((sin(2x)/2 + sin(6x)/6 + sin(10x)/10 + ...) f(x) = /4 - [(-1)nsin(nx)/n] 2/(cos(nx)/n2 ) (odd n) (-2) , (-) , (-/2) 1, (/2) 0, () , (2) 8.1(5.1) f(x) = - 2/sin(nx/L)/n 8.11 sketch only 8.12 sketch only 8.13 sketch only 8.14 sketch only 8.15 ( 8.18 (a) f(x) =...

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312 Physics : Applied Mathematics Chapter 7 Homework Answers 5.1 5.5 5.7 6.1 f(x) = -2/(sin(nx)/n) f(x) = -2/(cosx cos(3x)/3 + cos(5x)/5 - ...) 4/((sin(2x)/2 + sin(6x)/6 + sin(10x)/10 + ...) f(x) = /4 - [(-1)nsin(nx)/n] 2/(cos(nx)/n2 ) (odd n) (-2) , (-) , (-/2) 1, (/2) 0, () , (2) 8.1(5.1) f(x) = - 2/sin(nx/L)/n 8.11 sketch only 8.12 sketch only 8.13 sketch only 8.14 sketch only 8.15 ( 8.18 (a) f(x) = i/[(-1)neinx/n or (2/)(-1)n+1 sin(nx)/n (b) f(x) = (4/2 )einx/n2 or (8/2 )cos(nx)/n2 (c) f(x) = (-4i/3 )einx/n3 or (8/3 )sin(nx)/n3 100/3 + 100/2[cos(nx/5)/n2 ] 100/[sin(nx/5)/n 100/3 50einx/5(1/n22 + -1/in) 9.1 9.2 9.5 9.9 9.16 (a) cos(nx) + i sin(nx) , (b) xsinh(x) + xcosh(x) (a) ln|1-x2| + ln|(1-x)/(1+x)| f(x) = (4/)sin(nx)/n f(x) = 1/12 + (1/2)(-1)ncos(2nx)/n2 even fc(x) = + 2/( -cos(x/2) + cos(3x/2)/3 cos(5x/2)/5 - ...) odd fs(x) = 2/(sin(x/2) sin(x) + sin(3x)/3 + sin(5x/2)/5 sin(6x/2)/3 .. period 2 fp(x) = + 2/sin(nx)/n ...

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