Question

What is the base of s?

1) The region enclosed by the parabola y - 1/2 x² and the x-axis
2) The region enclosed by the parabola y - 1/2 x² and the y-axis
3) The region enclosed by the parabola y - 1/2 x² and the line y = 0
4) The region enclosed by the parabola y - 1/2 x² and the line x = 0

Answer 1

The base of s depends on the region enclosed by the given parabola and specified line or axis.

Step-by-step explanation:

The base of s can be determined by identifying the region enclosed by the given parabola and the specified line or axis. Let's evaluate each option one by one:

1. The region enclosed by the parabola y - 1/2 x² and the x-axis has a base along the x-axis.
2. The region enclosed by the parabola y - 1/2 x² and the y-axis has a base along the y-axis.
3. The region enclosed by the parabola y - 1/2 x² and the line y = 0 also has a base along the x-axis.
4. The region enclosed by the parabola y - 1/2 x² and the line x = 0 has a base along the y-axis.

Therefore, depending on the option, the base of s can be either the x-axis, the y-axis, or a specified line.