Let (x,y)=5-x2-y2-4y. Which of the following is TRUE? O f has no local maxima. fhas a local minimum at (0,2) and a local maximum at(0,-2). f has a local maximum at (0,-2). O f has a local minimum at (0,-2). f has a saddle point at (0,-2).

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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Let (x,y)=5-x2-y2-4y. Which of the following is TRUE?
O f has no local maxima.
fhas a local minimum at (0,2) and a local maximum at(0,-2).
f has a local maximum at (0,-2).
O f has a local minimum at (0,-2).
f has a saddle point at (0,-2).
Transcribed Image Text:Let (x,y)=5-x2-y2-4y. Which of the following is TRUE? O f has no local maxima. fhas a local minimum at (0,2) and a local maximum at(0,-2). f has a local maximum at (0,-2). O f has a local minimum at (0,-2). f has a saddle point at (0,-2).
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