Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Problem Statement:**

Find the average value of \( f(x,y) = \sin(x + y) \) over:

a. The rectangle \( 0 \leq x \leq \pi/3 \), \( 0 \leq y \leq 7\pi/6 \)

b. The rectangle \( 0 \leq x \leq 2\pi/3 \), \( 0 \leq y \leq 4\pi/3 \)

---

**Question:**

a. The average value of \( f \) is \([ \text{input box} ]\).  
(Type an exact answer, using \(\pi\) as needed.)
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Transcribed Image Text:**Problem Statement:** Find the average value of \( f(x,y) = \sin(x + y) \) over: a. The rectangle \( 0 \leq x \leq \pi/3 \), \( 0 \leq y \leq 7\pi/6 \) b. The rectangle \( 0 \leq x \leq 2\pi/3 \), \( 0 \leq y \leq 4\pi/3 \) --- **Question:** a. The average value of \( f \) is \([ \text{input box} ]\). (Type an exact answer, using \(\pi\) as needed.)
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