A region in the ry-plane is bounded by the curves y = = cos x and y = n²/4-1² for -T/2 ≤x≤T/2. These curves meet only at x = ±π/2. Sketch a diagram showing the region. Indicate a thin vertical strip within the region, and mark the values of y at its endpoints. (a) (b) Use an area integral to find the area of the region.
A region in the ry-plane is bounded by the curves y = = cos x and y = n²/4-1² for -T/2 ≤x≤T/2. These curves meet only at x = ±π/2. Sketch a diagram showing the region. Indicate a thin vertical strip within the region, and mark the values of y at its endpoints. (a) (b) Use an area integral to find the area of the region.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:A region in the ry-plane is bounded by the curves y = = cos x and
y = ²/4-² for -1/2 ≤ x ≤ 1/2. These curves meet only at x = :±π/2.
(a) Sketch a diagram showing the region. Indicate a thin vertical strip
within the region, and mark the values of y at its endpoints.
(b) Use an area integral to find the area of the region.
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