In all of the exercises for this section, a software package such as Excel Solver can...

 

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In all of the exercises for this section, a software package such as Excel Solver can be used as a check on your analytic work. (Bear in mind, however, the cautions at the end of Example 4.) In Exercises 1-16, find the maximum and minimum values of the given function and the points at which they occur. 1. f(x, y) = x² + y²; 0≤x≤ 2,0 ≤ y ≤2 2. g(x, y) = √√x² + y²; 1 ≤ x ≤ 2,1 ≤ y ≤2 3. h(x, y) = (x - 1)² + y²; x² + y² ≤4 4. k(x, y) = x² + (y-1)²; x² + y² ≤9 In all of the exercises for this section, a software package such as Excel Solver can be used as a check on your analytic work. (Bear in mind, however, the cautions at the end of Example 4.) In Exercises 1-16, find the maximum and minimum values of the given function and the points at which they occur. 1. f(x, y) = x² + y²; 0≤x≤ 2,0 ≤ y ≤2 2. g(x, y) = √√x² + y²; 1 ≤ x ≤ 2,1 ≤ y ≤2 3. h(x, y) = (x - 1)² + y²; x² + y² ≤4 4. k(x, y) = x² + (y-1)²; x² + y² ≤9

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