MAT-1110 Midterm: MATH 1110 App State summer2012 Test3 answer key
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Show your work: (8 points) match the slope eld to its di erential equation. = t + y: (16 points) a piece of wire 12 m long is going to be cut into several pieces and use to construct the skeleton of a rectangular box with a square base. Draw a picture (or several pictures) labeled with variables: x, y etc. and. Nd a formula in terms of those variables which computes the surface area of the box along with any additional equations which constrain your variables. Then nd the dimensions of the box with the largest surface area. Our wire needs to be cut into pieces of (potentially) 2 di erent lengths. Say the pieces belonging to the square base and top have length x and the pieces on the sides have length y. We need a total of 8 pieces of length x and 4 of length y. These pieces need to add up to 12 m long.
