Question: How do you solve these? Please include correct work and answers thank you. 1) Find the maximum value of f ( x , y )

How do you solve these? Please include correct work and answers thank you. 1) Find the maximum value of f(x,y) =xysubject to x+ 2y=68. fmax= Also find the corresponding point (x,y). (x,y) =

5./12 pointsWaneFMAC6 15.4.008. Ask Your Teacher My Notes
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2)Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the maximum value of f(x,y) =xysubject to 3x+y=66. fmax= Also find the corresponding point (x,y). (x,y) =
6./15 pointsWaneFMAC6 15.4.009. Ask Your Teacher My Notes
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3)Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the maximum value of f(x,y) = 4xysubject to x2+y2=2. fmax= Also find the corresponding points (x,y). (x,y) =
(smallerx-value) (x,y) =
(largerx-value) 7./14 pointsWaneFMAC6 15.4.010. Ask Your Teacher My Notes
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4)Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the maximum value of f(x,y) =xysubject to y=3x2. fmax= Also find the corresponding point (x,y). (x,y) =
8./12 pointsWaneFMAC6 15.4.011. Ask Your Teacher My Notes
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5)Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the minimum value of f(x,y) =x2+y2subject to x+ 2y=45. fmin= Also find the corresponding point (x,y). (x,y) =
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