MAT 397 Midterm: MAT_397_F_12

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9 Jan 2019
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Write your answers and show all your work on this test. There are 9 problems on 10 pages (including this cover sheet), for a total of 100 points. To receive full or partial credit, the correct work leading to the correct answer must be written down. Unsupported answers will receive little or no credit. Cross out any work you don"t want graded. Giving several answers to the same question will result in little credit, even when the correct answer is among them. Turn off and put away all cell phones and similar devices. 2. (10 points) find parametric equations for the line of intersection of the planes with equations x + y + z = 1 and 2x + y + 3z = 2. 5. (10 points) using the method of lagrange multipliers, find the largest value of the product of three non-negative numbers if their sum is equal to 100.