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List the critical points of the function f(x, y) = (x − 1)³(y + 2)² for which the Second Partial Derivative Test fails. O Test fails at (-1, a) and (b. 2). O Test fails only at (1.-2). Test fails at (1, a) and (b, 2). O Test fails at (1, a) and (b, -2). O Test fails only at (1, 2).

List the critical points of the function f(x, y) = (x − 1)³(y + 2)² for which the Second Partial Derivative Test fails. O Test fails at (-1, a) and (b. 2). O Test fails only at (1.-2). Test fails at (1, a) and (b, 2). O Test fails at (1, a) and (b, -2). O Test fails only at (1, 2).

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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List the critical points of the function f(x, y) = (x - 1)³(y + 2)² for which the Second Partial Derivative Test fails. O Test fails at (−1, a) and (b, 2). O Test fails only at (1, -2). O Test fails at (1, a) and (b, 2). O Test fails at (1, a) and (b, ,-2) O Test fails only at (1, 2).
Transcribed Image Text:List the critical points of the function f(x, y) = (x - 1)³(y + 2)² for which the Second Partial Derivative Test fails. O Test fails at (−1, a) and (b, 2). O Test fails only at (1, -2). O Test fails at (1, a) and (b, 2). O Test fails at (1, a) and (b, ,-2) O Test fails only at (1, 2).
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