3 f(x. y)= - x²+y²+1 (0, 0, –3) a. The function has a relative minimum at ), 0, –3) (0, 0, –3). (0, 0, 0) (0, 0, 0) b. The function has a relative maximum at (0, c. The function has a saddle point at d. The function has a relative maximum at e. The function has a relative minimum at

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
3
f(x, y)= -
x²+y²+1
a. The function has a relative minimum at (0. 0. -3).
(0, 0. -3)
b. The function has a relative maximum at
C. The function has a saddle point at (0. 0. -3).
(0, 0, 0)
(0, 0, 0)
d. The function has a relative maximum at
e. The function has a relative minimum at
Transcribed Image Text:3 f(x, y)= - x²+y²+1 a. The function has a relative minimum at (0. 0. -3). (0, 0. -3) b. The function has a relative maximum at C. The function has a saddle point at (0. 0. -3). (0, 0, 0) (0, 0, 0) d. The function has a relative maximum at e. The function has a relative minimum at
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