The graph of \( g \) consists of two straight lines and a semicircle as shown in the figure. **Graph Description:** - The graph is a coordinate plane with both x and y axes labeled. - The y-axis is labeled from 0 to 12, in increments of 6. - The x-axis is labeled from 0 to 21, in increments of 12. - The graph of \( y = g(x) \) features: - A straight line descending from the point (0,12) to (6,0). - A semicircle centered at x = 12 with radius 6, spanning from x = 6 to x = 18. - Another straight line ascending from the point (18,0) to (21,6). **Problem Statement:** Evaluate each integral by interpreting it in terms of areas. (a) \( \int_{0}^{6} g(x) \, dx \) (b) \( \int_{6}^{18} g(x) \, dx \) (c) \( \int_{0}^{21} g(x) \, dx \) For each part, you are expected to evaluate the definite integral by calculating the areas under or above the graph relative to the x-axis over the given intervals.

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