8. (10分) Find the maximum value of f(x, y) = 2x + 2xy + ysubject to the constraint 2x + y = 100 by Lagrange multiplier.

詳解 (共 1 筆)

Chia Chung

詳解 #6208720

2024/09/12

<Solution>7 ...

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9. (20分) Using Green's Theorem, evaluateclockwise around the boundary curve C of the region R = {(x, y) ∈ R | 1 ≤ y ≤ 2 - x²}, where F = (x² + y²)i + (x² - y²)j. (10分) (請說明 Green's theorem 之公式) (5分) (畫出 R 之圖形)

8. (10分) Find the maximum value of f(x, y) = 2x + 2xy + ysubject to the constraint 2x + y = 100 by Lagrange multiplier.

詳解 (共 1 筆)

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