The figure shows a contour graph for a function fin blue with a constraint function g = 2 in black. h -2 -1 1 (k, h, f(k, h)) = contours f(k, h) g(k, h) = 2 0 1 2 3 k (a) Ignoring the constraint g = 2, locate the optimal point of f and, if one exists, classify it as a relative maximum point or a relative minimum point. (If an answer does not exist, enter DNE.) (k, h, f(k, h)) = Select Classification ✓ (b) Estimate any optimal points for the system optimize f subject to g = 2. Classify each constrained optimal point as a maximum or a minimum. (Order your answers from smallest to largest k.) (k, h, f(k, h)) = Select Classification ✓ Select Classification ✓
The figure shows a contour graph for a function fin blue with a constraint function g = 2 in black. h -2 -1 1 (k, h, f(k, h)) = contours f(k, h) g(k, h) = 2 0 1 2 3 k (a) Ignoring the constraint g = 2, locate the optimal point of f and, if one exists, classify it as a relative maximum point or a relative minimum point. (If an answer does not exist, enter DNE.) (k, h, f(k, h)) = Select Classification ✓ (b) Estimate any optimal points for the system optimize f subject to g = 2. Classify each constrained optimal point as a maximum or a minimum. (Order your answers from smallest to largest k.) (k, h, f(k, h)) = Select Classification ✓ Select Classification ✓
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:The figure shows a contour graph for a function f in blue with a constraint function g = 2 in black.
h
-3
-1
contours f(k, h)
(k, h, f(k, h)) =
g(k, h) = 2
0 1 2 3
k
(a) Ignoring the constraint g = 2, locate the optimal point of f and, if one exists, classify it as a relative maximum point or a relative minimum point. (If an answer does not exist, enter DNE.)
(k, h, f(k, h)) =
Select Classification ✓
(b) Estimate any optimal points for the system
optimize f
subject to g = 2.
Classify each constrained optimal point as a maximum or a minimum. (Order your answers from smallest to largest k.)
(k, h, f(k, h)) =
Select Classification
Select Classification
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