CH354HW1_Q4Spring2014

# 148148 sin 3 x x 2 1 1 1 2 3 4 out71 1 2 3 4 in72

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Unformatted text preview: 2 3 4 In[72]:= Plot 2 pi ^ 2 4 pi 2 x ^ 2, pi 4 Sin x 0.148148 Sin 3 x 0.032 Sin 5 2 1 1 1 2 3 4 Out[72]= 1 2 3 4 Printed by Wolfram Mathematica Student Edition x , x, 1, 4 1, 4 2 Untitled-2 Monitor Convergence by determining area between curves : In[73]:= Integrate 2 Out[73]= Integrate 2 pi 4 4 Sin x pi ^ 2 4 pi 2 x ^ 2 , x, 0, pi 0.0747546 In[75]:= pi Out[75]= In[76]:= Out[76]= In[78]:= Out[78]= Sin x 0.148148 Sin 3 x pi ^ 2 4 pi 2 x ^ 2 , x, 0, pi 0.0118786 Integrate 2 pi pi ^ 2 4 pi 2 4 Sin x 0.148148 x ^ 2 , x, 0, pi Sin 3 x 0.032 Sin 5 x 0.0037299 Integrate 2 pi 4 Sin x 0.148148 Sin 3 pi ^ 2 4 pi 2 x ^ 2 , x, 0, pi x 0.032 Sin 5 0.00160872 Converges nicely, eh ? Printed by Wolfram Mathematica Student Edition x 0.0116618 Sin 7 x...
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