[15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: I: x² + xy + 7y² 27, x > 0, y > 0. = a) Find MAX(z) and b) The point (x, y) = I so that MAX(z) A AB · C = ADⓇ (Find the maximum value of z, ) Us the METHOD of the Lagrange Multiplier HINT: (provided f(x, y) 4 =B A = 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: I: x² + xy + 7y² 27, x > 0, y > 0. = a) Find MAX(z) and b) The point (x, y) = I so that MAX(z) A AB · C = ADⓇ (Find the maximum value of z, ) Us the METHOD of the Lagrange Multiplier HINT: (provided f(x, y) 4 =B A = A# 0,B #0 C# 0,D#0' (Add on extra pages as needed for your solution. ILLUSTRATION of Lagrange Solution

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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Show all your steps please and explain Do it in digital format and upload screenshots of every element you use, place all the equations you use. THANK YOU In a European university, we want to test the hypothesis that the intelligence quotient (IQ) of the students who study physics and mathematics is different from the average IQ of the entire university, for which a sample of 30 students from these two careers is taken. If the average IQ of the entire university is 118, construct two decision rules that allow this hypothesis to be tested, a) Considering values of alpha = 0.01 b) Considering values of alpha=0.40 Suppose that the results obtained in the sample are the following and have a normal distribution: 147.5, 144.7, 149.2, 144.5, 143.6, 139.6, 151.6, 140.6, 151.1, 139.2, 140.8, 156.9, 158.0, 145.3, 146.1, 148.5, 145.0, 143.2, 141.4, 149.6, 152.2, 145.6, 149.4, 151.3, 150.0, 151.5, 146.2, 147.7, 148.9, 146.6
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