p3sol - 3.1.nb [email protected]_D:= 1 [email protected] xD 1 [email protected] b [email protected] xD [email protected]..

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f @ x_ D : = 1 ê Cos @ b x D f' @ x D b Sec @ bx D Tan @ bx D f'' @ x D b 2 Sec @ bx D 3 + b 2 Sec @ bx D Tan @ bx D 2 f''' @ x D 5b 3 Sec @ bx D 3 Tan @ bx D + b 3 Sec @ bx D Tan @ bx D 3 In[13]:= b = 1 ê 6 Out[13]= 1 cccc 6 f @ Pi D 2 ccccccccc è!!! 3 f' @ Pi D 1 cccc 9 H 1 ê 2 L f'' @ Pi D 5 ccccccccccccccccc 108 è!!! 3 H 1 ê 6 L f''' @ Pi D 7 ccccccccccc 1944 secseries = Normal @ Series @ 1 ê Cos @ b x D , 8 x, Pi, 3 <DD 2 ccccccccc è!!! 3 + 1 cccc 9 H −π + x L + 5 H −π + x L 2 cccccccccccccccc cccccccccc 108 è!!! 3 + 7 H −π + x L 3 cccccccccccccccc cccccccccc 1944 3.1.nb 1
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Plot @8 secseries, 1 ê Cos @ b x D< , 8 x, 0, 2 Pi < , PlotStyle 8 RGBColor @ 1, 0, 0 D , RGBColor @ 0, 0, 1 D<D 1 2 3 4 5 6 1.2 1.4 1.6 1.8 2 h Graphics h In[14]:= secseries = Normal @ Series @ 1 ê Cos @ b x D , 8 x, Pi, 0 <DD Out[14]= 2 cccccccc è!!! 3
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This note was uploaded on 08/06/2008 for the course PHYS 31 taught by Professor Nelson during the Winter '06 term at UCSB.

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p3sol - 3.1.nb [email protected]_D:= 1 [email protected] xD 1 [email protected] b [email protected] xD [email protected]..

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