Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
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Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of are
and
, respectively.
Plugging these values into the first inequality, , gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, , gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.
Via the disk method,
Recall the half-angle identity for sine:
Via the disk method,
Recall the half-angle identity for sine: