Problem 2. A lamina occupies the part of the disk x² + y² ≤ 64 in the first quadrant. The density at any point is proportional to its distance from the x-axis. Given k as the constant of proportionality, evaluate the following. 1. Find the density function. 2. Find the mass of the entire lamina. 3. Find the moment of the entire lamina with respect to each axis. 4. Find the center of mass.

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