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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

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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