Please calcutate the first image attached please do not im saying do not calculate as the second image attched please calculate first image attached differently Z = f(any) = x²y252²+ xy +7y² = 27де)g(x) = x² + xy + 7y² = 27 -2Using the method of Lagrange Multiplierof =Cliven functionConstantint 1²:12 Letaf atagag(as2+₁ 2+ )= a ( 23, 24)онду⇒ (2xy, x²) = 2 (2x+y, xc+.144)=>(any, a12²) = (a (20₁+y), A (2²+144))aДжу =вакand^ (2मty)2₁² = √(x + 144)Diving (3) by 42ny.272=(R+206) XX (81+149)2xy + 28y² = 22²³²+ my⇒ - 2x² + xy + 2ay ²= 0342120,(51(121701970·(2Scanned by TapScanner [15] (4) GIVEN: z =f(x, y) = x²y,where (x, y) is subject to the constraint:I: x² + xy + 7y²27, x > 0, y > 0.=a) Find MAX(z)andb) The point (x, y) = I so that MAX(z)AAB· C = ADⓇ(Find the maximum value of z, )Us the METHOD of the Lagrange Multiplier HINT:(providedf(x, y)4 =BA=A# 0,B #0C# 0,D#0'(Add on extra pagesas needed for yoursolution.ILLUSTRATION ofLagrange Solution

This is a quadratic equation in y , so find factorisation of equation (5) .

[15] (4) GIVEN: z = f(x, y): = x²y, where (x, y) is subject to the constraint: T: x² + xy + 7y² 27, x > 0, y > 0. a) Find MAX(z) and = (Find the maximum value of z, ) b) The point (x, y) er so that MAX(z) f(x, y) [A AB Us the METHOD of the Lagrange Multiplier HINT: { c = 2B-4-B A= C (provided = A# 0,B=0 C# 0,D 0' (Add on extra pages as needed for your solution. ILLUSTRATION of Lagrange Solution

[15] (4) GIVEN: z = f(x, y): = x²y, where (x, y) is subject to the constraint: T: x² + xy + 7y² 27, x > 0, y > 0. a) Find MAX(z) and = (Find the maximum value of z, ) b) The point (x, y) er so that MAX(z) f(x, y) [A AB Us the METHOD of the Lagrange Multiplier HINT: { c = 2B-4-B A= C (provided = A# 0,B=0 C# 0,D 0' (Add on extra pages as needed for your solution. ILLUSTRATION of Lagrange Solution

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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