You can use the divergence theorem:
has divergence
Then the rate of flow out of the cylinder (call it <em>R</em>) is
(by divergence theorem)
(after converting to cylindrical coordinates)
whose value is 0.
Answer:
A
Step-by-step explanation:
The given angles are vertical and thus congruent, so
3x = x + 40 ( subtract x from both sides )
2x = 40 ( divide both sides by 2 )
x = 20 → A
If you mean <em>x</em> = 0.666…, then
10<em>x</em> = 6.666…
10<em>x</em> - <em>x</em> = 6.666… - 0.666…
9<em>x</em> = 6
<em>x</em> = 6/9 = 2/3
If you mean <em>x</em> = 0.060606…, then
100<em>x</em> = 6.060606…
100<em>x</em> - <em>x</em> = 6.060606… - 0.060606…
99<em>x</em> = 6
<em>x</em> = 6/99 = 2/33
Answer:
Step-by-step explanation:
Urgent urgent urgent urgent
You're urgent
Answer: 5 and 14.
Step-by-step explanation:
We know that the Raiders and Wildcats both scored the same number of points in the first quarter so let a,a+d,a+2d,a+3d be the quarterly scores for the Wildcats. The sum of the Raiders scores is a(1+r+r^{2}+r^{3}) and the sum of the Wildcats scores is 4a+6d. Now we can narrow our search for the values of a,d, and r. Because points are always measured in positive integers, we can conclude that a and d are positive integers. We can also conclude that $r$ is a positive integer by writing down the equation:
a(1+r+r^{2}+r^{3})=4a+6d+1
Now we can start trying out some values of r. We try r=2, which gives
15a=4a+6d+1
11a=6d+1
We need the smallest multiple of 11 (to satisfy the <100 condition) that is 1 (mod 6). We see that this is 55, and therefore a=5 and d=9.
So the Raiders' first two scores were 5 and 10 and the Wildcats' first two scores were 5 and 14.
