Answer:
The volume is:
Step-by-step explanation:
See the sketch of the region in the attached graph.
We set the integral using washer method:
Notice here the radius of the washer is the difference of the given curves:
So the integral becomes:
We solve it:
Factor
out and distribute the exponent (you can use FOIL):
Notice:
So the integral becomes:
Then using the basic rule to evaluate the integral:
Simplifying a bit:
Then plugging the limits of the integral:
Taking the root (rational exponents):
Then doing those arithmetic computations we get:
The easiest way is to make equations y=2400x+30000 and y=2000+36000
and then put that in the calculator and go to table and the point they intersect at is (15,66000)
Answer:
The last one is the correct answer.
Step-by-step explanation:
Answer:
21d+28
Step-by-step explanation:
Answer:
(-1, -9)
Step-by-step explanation:
Recall that for 2 points (x1, y1) and (x2,y2)
the midpoints are given by
x ordinate =
y ordinate = 
In our case x1 = 8, y1 = -10, x2 = -10, y2=-8
x ordinate =
= [8 + (-10) ] / 2 = -1
y ordinate =
= [-10 + (-8) ] / 2 = -9
hence midpoint is (-1, -9)