Consider the function f(x, y) = ry+3. Suppose we want to find the absolute maximum and...

 

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Consider the function f(x, y) = ry+3. Suppose we want to find the absolute maximum and minimum of f subject to the constraint g(x, y) = (x-1)² + y² ≤1. (Note: the implies that the interior of the constraint is also included, not just the boundary edge). (a) Find all of the possible points where the max and min might occur. (Remember to show all of your work). Consider the function f(x, y) = ry+3. Suppose we want to find the absolute maximum and minimum of f subject to the constraint g(x, y) = (x-1)² + y² ≤1. (Note: the implies that the interior of the constraint is also included, not just the boundary edge). (a) Find all of the possible points where the max and min might occur. (Remember to show all of your work).

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