The contour map for a differentiable function of two variables, z = f(z, y) is shown below. Note that the numbers inside the plot correspond to contour values, and the numbers outside the plot are the values along the coordinate axes. The origin is at the center of this plot. 260225 50 25 150 200 225 200 175 100 200 -1 75 25 50 -1 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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Estimate the value of f at the points labeled A and C. 

True or False: At the point S, fx > 0. Briefly explain your reasoning

s the value of the directional derivative of f at the point P, in the direction
~v = <-1,1>, positive, negative, or approximately zero? Briefly explain your reasoning.

 True of False: the arrow drawn at the point labeled Q points in the direction of ∇~ f(Q).
Briefly explain your reasoning.

The contour map for a differentiable function of two variables, z = f(x, y) is shown below.
Note that the numbers inside the plot correspond to contour values, and the numbers outside the plot are the values
along the coordinate axes. The origin is at the center of this plot.
-3
-1
1
2
3
26b 225
50
100
25
R
2
1$0
75
1
200
225 200 175
100
B
200
-1
75
125
-2
26
50
250226
100
-3
-2
-1
2
3
Transcribed Image Text:The contour map for a differentiable function of two variables, z = f(x, y) is shown below. Note that the numbers inside the plot correspond to contour values, and the numbers outside the plot are the values along the coordinate axes. The origin is at the center of this plot. -3 -1 1 2 3 26b 225 50 100 25 R 2 1$0 75 1 200 225 200 175 100 B 200 -1 75 125 -2 26 50 250226 100 -3 -2 -1 2 3
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