Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 80, Problem 5AR
For Exercises 1 through 6, compute angles to the nearer minute or hundredth degree.
Three views of the angular portion of a tool are shown.
Compute
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16.4. Show that if z' is the principal value, then
1+e**
z'dz =
(1-i),
2
where is the upper semicircle from z = 1 to z = -1.
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16.8. For each of the following functions f, describe the domain of ana-
lyticity and apply the Cauchy-Goursat Theorem to show that f(z)dz =
0, where is the circle |2|=1:1
(a). f(z) =
1
z 2 + 2x + 2
(b). f(z) = ze*.
What about (c). f(z) = (2z-i)-2?
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