A cylinder has a diameter of 10 inches in the height four times the radius what is the volume
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
In the given right triangle,
Measure of angle = x°
Opposite side of the angle = 12 units
Adjacent side of the angle = 6 units
By taking tangent ratio of the given angle,
tan(x°) =
=
= 2
Answer:
x ≈ 11.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos26° = =
( multiply both sides by 13 )
13 × cos26° = x , then
x ≈ 11.7 ( to the nearest tenth )
Answer:
<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>
Step-by-step explanation:
<u>Convergence of Infinite Series</u>
The series is given as the terms
1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...
For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.
Our series has two clearly different sequences, which define it as a piecewise general term:
If n is odd, then
Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is
if n is even.
If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.
The limit of the function
is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.
But it goes worse because of the limit of the second piece
when n goes to infinity is infinite.
The answer is
<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>