Question: Please help with the following calculus questions: Problem 3.4. A cylindrical metal bucket (WITHOUT a top lid) is to be made to hold 1 liter

Please help with the following calculus questions: Problem 3.4. A cylindrical

Please help with the following calculus questions:

Problem 3.4. A cylindrical metal bucket (WITHOUT a top lid) is to be made to hold 1 liter = 1000 cm of water. Find the dimensions (i.e., the height and the base radius, measured in cm) of the bucket which minimize the total surface area of the bucket. Problem 3.5. Find the points on the ellipse 4x- + y =4 that are furthest away from the point (1, 0)

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