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3241004551 [841]
3 years ago
12

My attempts at solving this integral keep failing... I'd really appreciate some help :)

Mathematics
1 answer:
inysia [295]3 years ago
5 0
\bf \displaystyle \int \cfrac{csc^2(x)}{1+cot(x)}\cdot dx\\\\
-----------------------------\\\\
u=1+cot(x)\implies \cfrac{du}{dx}=-csc^2(x)\implies \cfrac{du}{-csc^2(x)}=dx\\\\
-----------------------------\\\\
\displaystyle \int\cfrac{csc^2(x)}{u}\cdot \cfrac{du}{-csc^2(x)}\implies -\int \cfrac{1}{u}\cdot du
\\\\\\
-ln|u|+C\implies -ln|1+cot(x)|+C
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Your income determines your credit score<br><br>true or false​
Assoli18 [71]

<em>Your income determines your credit score</em>

False.

Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.

4 0
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2 years ago
A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary
djyliett [7]

Answer:

<em>The large sample size 'n' =  199.6569≅ 200</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of  of salary for all baseball players for 2015 </em>

<em>   (S.D ) σ =  $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

                          =  $497,000

<em>Given Margin of error of error is  =  $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282  </em>

<u><em>Step(ii):</em></u><em>-</em>

<em>Margin of error of error is  determined by</em>

<em>           </em>M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }<em></em>

<em>          </em>497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }<em></em>

Cross multiplication , we get

 \sqrt{n}  = \frac{1.282 X 5,478,384.55}{497,000 }

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' =  199.6569≅ 200</em>

<em>    </em>

<em></em>

7 0
3 years ago
The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location. Find an equiva
kolezko [41]

Answer:

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

Step-by-step explanation:

The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location.

The inequality expression is given as:

|T-43|\leq 22

now this expression could also be expressed as:

-22\leq T-43\leq22\\\\-22+43 \leq T \leq 22+43\\\\21\leq T\leq 65

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

( As the difference is 22 degrees to the left and right)

5 0
3 years ago
Please help I'm desperate :(
zubka84 [21]

Answer:

x=5

Step-by-step explanation:

<u>Similar Triangles</u>

By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

\displaystyle \frac{45}{36}=\frac{5x}{20}

Simplifying both fractions

\displaystyle \frac{5}{4}=\frac{x}{4}

Solving for x

x=5

8 0
2 years ago
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