Show is a contour plot for a function z = 3 В A (a) Is fy positive, negative, or zero at A? (b) Is fæx positive, negative, or zero at B? Copy the contour plot onto your own paper. (c) The function f has exactly two critical points in the region pictured. Mark these in the contour plot, label them P and Q, and identify whether each is a local minimum, local maximum, or saddle point. (d) Sketch the gradient of f at A in the contour plot.

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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Show is a contour plot for a function z = f(x,y).
3
3
1
A
2
(a) Is fy positive, negative, or zero at A?
(b) Is fæx positive, negative, or zero at B?
Copy the contour plot onto your own paper.
(c) The function f has exactly two critical points in the region pictured. Mark these in the contour
plot, label them P and Q, and identify whether each is a local minimum, local maximum, or saddle
point.
(d) Sketch the gradient of f at A in the contour plot.
Transcribed Image Text:Show is a contour plot for a function z = f(x,y). 3 3 1 A 2 (a) Is fy positive, negative, or zero at A? (b) Is fæx positive, negative, or zero at B? Copy the contour plot onto your own paper. (c) The function f has exactly two critical points in the region pictured. Mark these in the contour plot, label them P and Q, and identify whether each is a local minimum, local maximum, or saddle point. (d) Sketch the gradient of f at A in the contour plot.
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