When x=1/2 least to greatest with 6x+1 ,x+1/2 ,-3x, and 2x-1/2 and -x
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The two curves intersect at two points, (0, 0) and (8, 8):
The area of a semicircle with diameter is
. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of
between 0 and 8. Over this interval,
and
, so the volume of this solid is given by the integral
- The solution for the compound inequality is:
- The graph is given at the end of the question.
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The compound inequality is given by:
Thus, we need:
and
That is, values of x that respect both these conditions.
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For the first inequality:
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For the second inequality:
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- Considering that both conditions are needed, the solution is:
- The graph on the number line is given next.
A similar problem is given at brainly.com/question/24009950
