Problem 5 (8 points). Find the absolute maximum and minimum of f(x,y) = ey subject to...

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Problem 5 (8 points). Find the absolute maximum and minimum of f(x,y) = e¹y subject to the constraint 4x² + y² = 8, and find the points where these are achieved. Hint: When solving the system of simultaneous equations, it will be helpful to multiply by relevant terms to obtain the same product, which can then be used to obtain an equality. Problem 5 (8 points). Find the absolute maximum and minimum of f(x,y) = e¹y subject to the constraint 4x² + y² = 8, and find the points where these are achieved. Hint: When solving the system of simultaneous equations, it will be helpful to multiply by relevant terms to obtain the same product, which can then be used to obtain an equality.