Let S = {(x, y) | y ≥ e−x1, 0 ≤ x ≤ 3, y ≤ 1} i. Sketch the set S  ii. Describe its boundary points  iii. Is the set S open or closed? Explain.  iv. Explain whether the set S is bounded  v. Explain whether the set S is convex  vi. Explain whether the set S is compact

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let S = {(x, y) | y ≥ e−x1, 0 ≤ x ≤ 3, y ≤ 1}
i. Sketch the set S 
ii. Describe its boundary points 
iii. Is the set S open or closed? Explain. 
iv. Explain whether the set S is bounded 
v. Explain whether the set S is convex 
vi. Explain whether the set S is compact

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