mid-term-sol

# Nb in5 a 0 simplifyfirsttermd simplifysecondtermd

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Unformatted text preview: 2 15 H2 Ha + xL + 2 Ha + y LL2 z 4 HHa + xL2 + Ha + y L2 + z 2 L + 5 ê2 7 ê2 + 6 Ha + y L HHa + xL2 + Ha + y L2 + z 2 L 5 ê2 15 H2 Ha + xL − 2 H− a + y LL2 z 4 HHa + xL2 + H− a + y L2 + z2 L 15 H− 2 H− a + x L + 2 Ha + y LL2 z 4 HH− a + xL + Ha + y L + 2 2 z2 L 6z + 7 ê2 HHa + x L2 + Ha + y L2 + z 2 L 5 ê2 7 ê2 y z= z z { − + 3 H2 Ha + x L + 2 Ha + yLL y z, z z { + 4 HHa + x L2 + Ha + y L2 + z 2 L HHa + xL2 + Ha + y L2 + z 2 L 5 ê2 − 6z HH− a + x L + Ha + yL2 + z2 L 2 5 ê2 − phz3113midterm.nb In[5]:= a = 0; Simplify@firsttermD Simplify@secondtermD ê 2 Out[5]= 80, 0, 0 &lt; Out[6]= 9 12 kq y H− 4 x 2 + y2 + z 2 L 60 kq x y z 12 kq x Hx 2 − 4 y 2 + z 2 L , ,− = 2 + y 2 + z 2 L 7 ê2 Hx H x 2 + y 2 + z 2 L 7 ê2 Hx 2 + y 2 + z 2 L7ê2 electric field proportional to a^2. f = a0 + a1 ∗ x + a2 ∗ x ^ 2 + a3 ∗ x ^ 3; g = b0 + b1 ∗ x + b2 ∗ x ^ 2 + b3 ∗ x ^ 3; fp = D@f, xD; fpp = D@fp, xD; gp = D@g, xD; gpp = D@gp, xD; x = 2; f1 = f; fp1 = fp; fpp1 = fpp; General::spell1 : P ossible spelling error: new symbol name &quot;fpp1&quot; is similar to existing symbol &quot;fp1&quot;. x = 3; f2 = f; fp2 = fp; fpp2 = fpp; g1 = g; gp1 = gp; gpp1 = gpp; Genera...
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## This note was uploaded on 06/01/2013 for the course PHZ 3113 taught by Professor Wang during the Summer '13 term at FIU.

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