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Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each component separately. fæ = fy = 2. The function f has exactly one stationary point at (an, Y0) . Where is it? 20 = Number Y0 = Number 3. Find the second derivatives at the stationary point you have just found. fæx = Number fyy = Number fæy = Number 4. Classify the stationary point as either a minimum, maximum or saddle point. O Maximum O Minimum O Saddle point O Cannot tell

Define f : R2 → R by f(x) = -9 x2 + 10 æy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each component separately. fæ = fy = 2. The function f has exactly one stationary point at (an, Y0) . Where is it? 20 = Number Y0 = Number 3. Find the second derivatives at the stationary point you have just found. fæx = Number fyy = Number fæy = Number 4. Classify the stationary point as either a minimum, maximum or saddle point. O Maximum O Minimum O Saddle point O Cannot tell

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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Define f : R2 → R by f(x) = -9 x2 +10 xy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each component separately. fæ = fy = 2. The function ƒ has exactly one stationary point at (x0, Y0) · Where is it? Number Y0 = Number 3. Find the second derivatives at the stationary point you have just found. fæx Number fyy Number fæy = Number 4. Classify the stationary point as either a minimum, maximum or saddle point. Мaximum Minimum Saddle point Cannot tell
Transcribed Image Text:Define f : R2 → R by f(x) = -9 x2 +10 xy – 6 y² + 100 x – 62 y – 20. 1. Obtain Vf and give each component separately. fæ = fy = 2. The function ƒ has exactly one stationary point at (x0, Y0) · Where is it? Number Y0 = Number 3. Find the second derivatives at the stationary point you have just found. fæx Number fyy Number fæy = Number 4. Classify the stationary point as either a minimum, maximum or saddle point. Мaximum Minimum Saddle point Cannot tell
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