For this math A = 30, B = 20, C = 11, D = 22. 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider f(z) dz. Let f(z) = 1/(z²+B²) with B as defined above. Show that с | f(z) | ≤ 1/(R² − a²) with R > a, and | ƒ f(z) dz | ≤ µR/(R² - a²) where R > a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Question
For this math A = 30, B = 20, C = 11, D = 22.
2. Let C be an open (upper) semicircle of radius R with its center at the origin, and
consider
f(z) dz. Let f(z) = 1/(z²+B²) with B as defined above. Show that
C
| f(z) | ≤ 1/(R² - a²) with R > a, and | S f(z) dz | ≤ +R/(R² - a²) where Ra
Transcribed Image Text:For this math A = 30, B = 20, C = 11, D = 22. 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider f(z) dz. Let f(z) = 1/(z²+B²) with B as defined above. Show that C | f(z) | ≤ 1/(R² - a²) with R > a, and | S f(z) dz | ≤ +R/(R² - a²) where Ra
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