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To find the mass of the region bounded by \( y = x^2 \), the \( y \)-axis, and the horizontal line \( y = 9 \) for \( x \geq 0 \) with the density function \( \rho(x, y) = x^{2.5} y \), we’ll set up and evaluate a double integral.

### Step-by-Step Solution:

1. **Determine the limits of integration:**
   - The region is bounded by \( y = x^2 \), \( y = 9 \), and \( x = 0 \).
   - For a fixed \( x \), \( y \) varies from \( y = x^2 \) to \( y

Find the mass of the region bounded by y = x^2, the y-axis, and the horizontal line y = 9 for x ≥ 0 if the density function ρ(x,y) = x^2.5 y. Round your answer to four decimal places.

Calculate the mass of a region bounded by y = x^2, the y-axis, and y = 9 for x ≥ 0 using a density function ρ(x, y) = x^2.5 y. This problem involves setting up and evaluating a double integral, suitable for undergraduate calculus students.

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