Answer:
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
Step-by-step explanation:
From exercise we have that
0 ≤ x ≤ 17
y = -2 √x and y = 2 √x.
We calculate the volume of the solid, we get:
\int\limits^17_0 \int\limits^{2 √x}_{-2 √x} {1} \, dy \, dx=
=\int\limits^17_0 [y]\limits^{2 √x}_{-2 √x} \, dx
=\int\limits^17_0 {(2 √x+2 √x)} \, dx
=4\int\limits^17_0 {√x} \, dx
=4 · 2/3 [x]\limits^17_0
=8/3 · 17^{3/2}
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
Answer:
The fraction of passengers remaining on the bus is 5/21
Step-by-step explanation:
To answer this question, we should choose any arbitrary value for the number of passengers on the bus initially.
We should have in mind that whatever value we shall be choosing, it should be a multiple of 3 and 7 since that is what we shall be dividing with.
Now, let’s choose the value 42 for the number of passengers originally at the on the bus.
At the first stop, 1/3 of the passengers exit. The number of passengers that exited will be 1/3 * 42 = 14
At the second stop, the number of passengers that exited is 3/7 of original. That would be 3/7 * 42 = 18 passengers
The total number of passengers that this have exited since we do not have any new addition to the original number is 18 + 14 = 32 passengers
Now the number remaining on the bus will be 42 - 32 = 10 passengers
This is equal to a fraction of 10/42 = 5/21
Answer:
5/2<x<5
Step-by-step explanation:
-7<3-2x<-2
or -7-3<-2x<-2-3
or -10<-2x<-5
or -10/-2>x>-5/-2
or 5>x>5/2
or 5/2<x<5
Therefore, 5/2<x<5 is the solution.
Me no espaniol sorry I don’t speak Chinese
8/9 it the answer to the question
