Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 +y3-75x - 300y - 1 O f(-5, -10) = 2249, local maximum %3D no nvimum: f(5 10) - -2251 local minimum 101 2240 les

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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estion 5
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = x3 +y3-75x- 300y- 1
O f(-5, -10) = 2249, local maximum
O f(-5, -10) = 2249, local maximum; f(5, 10) = -2251, local minimum
O f(5, -10) = 1749, saddle point; f(-5, 10) = -1751, saddle point
O f(5, 10) = -2251, local minimum; f(5, -10) = 1749, saddle point; f(-5, 10) = -1751, saddle point; f(-5,-10)=2249, local maximum
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Transcribed Image Text:uestion Completion Status: 1 3 4 6 7 8 10 11 12 13 14 15 A Moving to another question will save this response. estion 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 +y3-75x- 300y- 1 O f(-5, -10) = 2249, local maximum O f(-5, -10) = 2249, local maximum; f(5, 10) = -2251, local minimum O f(5, -10) = 1749, saddle point; f(-5, 10) = -1751, saddle point O f(5, 10) = -2251, local minimum; f(5, -10) = 1749, saddle point; f(-5, 10) = -1751, saddle point; f(-5,-10)=2249, local maximum A Moving to another question will save this response.
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Question 6
Find all the local maxima, local minima, and saddle points of the function.
f(x, y) = 6 - xty4.
O f(0, 0) = 6, local maximum
O f(0, 0) = 6, local maximum; f(6, 6) = -1,679,610, local minimum
O f(6, 6) = -1,679,610, local minimum
O f(6, 0) = 6, saddle point; f(0, 6) = 6, saddle point
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Transcribed Image Text:a Question Completion Status: 1 4 6. 7 8. 10 11 12 13 14 15 A Moving to another question will save this response. Question 6 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = 6 - xty4. O f(0, 0) = 6, local maximum O f(0, 0) = 6, local maximum; f(6, 6) = -1,679,610, local minimum O f(6, 6) = -1,679,610, local minimum O f(6, 0) = 6, saddle point; f(0, 6) = 6, saddle point A Moving to another question will save this response. MacBook Air
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