Answer:
of Example 6
5 and 14
Step-by-step explanation:
IN EXAMPLE 6
Opposite angles are equal so you equate the first one like this
3x + 20 = 10x - 15
15 + 20 = 7x
35/7 = x
x = 5
In next question b
It is a straight line thus it's 180°
so 4n + 22 +8n -10 = 180
12n + 12 = 180
12n = 180 - 12
n =168÷ 12
n = 14
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:
0.01
Steps:
The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3
Answer:
Other root is -95i
Step-by-step explanation:
Here, Nature of roots of f(x) is imaginary roots.
Therefore, Roots are conjugate of each other.
Conjugate of x + yi is x - yi.
we get conjugate of 95i as -95i
Verification shows....
(x-95)(x+95i)=0
this, roots are -95i and 95i
The slope is the number in front of the x. In this equation it is 1.
