Suppose that f(x, y) = x² - xy + y² - 4x + 4y with x² + y² ≤ 16. 1. Absolute minimum of f(x, y) is 2. Absolute maximum is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Consider the function:
\[ f(x, y) = x^2 - xy + y^2 - 4x + 4y \]
with the constraint:
\[ x^2 + y^2 \leq 16. \]

1. Absolute minimum of \( f(x, y) \) is \_\_\_\_\_\_\_\_\_\_
2. Absolute maximum of \( f(x, y) \) is \_\_\_\_\_\_\_\_\_\_
Transcribed Image Text:**Problem Statement:** Consider the function: \[ f(x, y) = x^2 - xy + y^2 - 4x + 4y \] with the constraint: \[ x^2 + y^2 \leq 16. \] 1. Absolute minimum of \( f(x, y) \) is \_\_\_\_\_\_\_\_\_\_ 2. Absolute maximum of \( f(x, y) \) is \_\_\_\_\_\_\_\_\_\_
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