6) The contour map of a function C(x, y) is shown below. Use it to answer the following questions. -6 37 -2/ 2 O i O P -2 0 -2- -1 3 2 S J -4 a. Estimate the value of C(-1,4). (Your answer does not need to be exact.) b. Is Cx (-4,2) positive, negative, or zero? c. In which direction is VC at the point (0,5)? d. C has a critical point the point labelled P, near (-1.3,0). Is this point a local minimum, local maximum, or saddle point?
6) The contour map of a function C(x, y) is shown below. Use it to answer the following questions. -6 37 -2/ 2 O i O P -2 0 -2- -1 3 2 S J -4 a. Estimate the value of C(-1,4). (Your answer does not need to be exact.) b. Is Cx (-4,2) positive, negative, or zero? c. In which direction is VC at the point (0,5)? d. C has a critical point the point labelled P, near (-1.3,0). Is this point a local minimum, local maximum, or saddle point?
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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Transcribed Image Text:6) The contour map of a function C(x, y) is shown below. Use it to answer the following questions.
-6
37
-2/
2
O
i
O
P
-2
0
-2-
-1
3
d
S
J
a.
Estimate the value of C(-1,4). (Your answer does not need to be exact.)
b. Is Cx (-4,2) positive, negative, or zero?
c. In which direction is VC at the point (0,5)?
d.
C has a critical point the point labelled P, near (-1.3,0). Is this point a local
minimum, local maximum, or saddle point?
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