The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Answer:
that sucks
Step-by-step explanation:
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals 
. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that 
and 
, then the axial stress experimented by the titanium wire is:
Since stress is greater than ultimate strength, the wire will break.
The measure of the side 
is approximately 33 and the measure of angle 
is approximately 12.321°.
<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>
In this problem we must apply the law of cosine and the law of sine to determine the angle Y:
<h3>Law of cosine</h3>
<h3>Law of sine</h3>
The measure of the side is approximately 33 and the measure of angle is approximately 12.321°. 
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512
