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Find the absolute extreme values taken on by f on the set D. -2y x² + y² + 1 D = {(x,y): x² + y² ≤ 4} f (x, y) = a) O Absolute max of 1 at (0, 1). Absolute min of -1 at (0,-1) b) Absolute max of 1 at (0,-1). Absolute min of -1 at (0,1) c) O Absolute max of 1 at (0, 1). Absolute min of 0 at (0,-1) Absolute max of 1 at (0,-1). Absolute min of 0 at (0, 1) d)

Find the absolute extreme values taken on by f on the set D. -2y x² + y² + 1 D = {(x,y): x² + y² ≤ 4} f (x, y) = a) O Absolute max of 1 at (0, 1). Absolute min of -1 at (0,-1) b) Absolute max of 1 at (0,-1). Absolute min of -1 at (0,1) c) O Absolute max of 1 at (0, 1). Absolute min of 0 at (0,-1) Absolute max of 1 at (0,-1). Absolute min of 0 at (0, 1) d)

Advanced Engineering Mathematics
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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Question 4 Find the absolute extreme values taken on by f on the set D. -2 y x² + y² + 1 D = {(x,y): x² + y² ≤ 4} f (x, y) = a) O Absolute max of 1 at (0,1). Absolute min of -1 at (0,-1) b) Absolute max of 1 at (0,-1). Absolute min of -1 at (0,1) c) O Absolute max of 1 at (0, 1). Absolute min of 0 at (0,-1) d) Absolute max of 1 at (0,-1). Absolute min of 0 at (0, 1) e) None of these.
Transcribed Image Text:Question 4 Find the absolute extreme values taken on by f on the set D. -2 y x² + y² + 1 D = {(x,y): x² + y² ≤ 4} f (x, y) = a) O Absolute max of 1 at (0,1). Absolute min of -1 at (0,-1) b) Absolute max of 1 at (0,-1). Absolute min of -1 at (0,1) c) O Absolute max of 1 at (0, 1). Absolute min of 0 at (0,-1) d) Absolute max of 1 at (0,-1). Absolute min of 0 at (0, 1) e) None of these.
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