Page 52 - Numerical Analysis Using MATLAB and Excel
P. 52
Solutions to End−of−Chapter Exercises
1.
a.
Px=[1 8 10 4]; roots(Px)
ans =
-6.5708
-0.7146 + 0.3132i
-0.7146 - 0.3132i
b.
Py=[1 7 19 25 16 4]; roots(Py)
ans =
-2.0000
-2.0000
-1.0000
-1.0000 + 0.0000i
-1.0000 - 0.0000i
2.
a.
r1=[−6.5708 −0.7146+0.3132j −0.7146−0.3132j]; poly_r1=poly(r1)
poly_r1 = 1.0000 8.0000 9.9997 4.0000
3
2
px() = x + 8x + 10x + 4
b.
r2=[−2 −2 −3 −3 −3]; poly_r2=poly(r2)
poly_r2 =
1 13 67 171 216 108
4
5
3
2
pz() = z + 13z + 67z + 171z + 216z + 108
3.
a.
Pv=[1 8 10 4]; value=polyval(Pv, 1.25)
value = 30.9531
b.
Pw=[1 7 19 25 16 4]; value=polyval(Pw, −3.75)
value = -63.6904
Numerical Analysis Using MATLAB® and Excel®, Third Edition 1−39
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