6] [3M] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose perimeter 12 cm.
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![6] [3M] Use Lagrange multiplier to find the
dimensions that will maximize the area for
rectangle whose perimeter 12 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F871e9154-a0ff-45dd-bc27-ca399142d422%2Fef168f2c-f353-43a2-9f6d-87fe0221fcee%2F9o2xy4_processed.jpeg&w=3840&q=75)
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Solved in 1 steps with 1 images
- Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the square of thedistance.Use the method of Lagrange multipliers to prove that the rectangular box with maximum volume that has a fixedsurface area S must be a cube.Use the method of Lagrange multipliers to show that for x, y ≥ 0, we have