Solved: Dividing the cheese Suppose a wedge of cheese

Chapter 13, Problem 60

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Dividing the cheese Suppose a wedge of cheese fills the region in the first octant bounded by the planes y = z, y = 4, and x = 4. You could divide the wedge into two pieces of equal volume by slicing the wedge with the plane x = 2. Instead find a with 0 6 a 6 4 such that slicing the wedge with the plane y = a divides the wedge into two pieces of equal volume.

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