First of all we need to find a representation of C, so this is shown in the figure below.
So the integral we need to compute is this:

So, as shown in the figure, C = C1 + C2, so:
Computing first integral:
Applying derivative:

Substituting this value into

Computing second integral:
Applying derivative:

Substituting this differential into


We need to know the limits of our integral, so given that the variable we are using in this integral is x, then the limits are the x coordinates of the extreme points of the straight line C2, so:
![I_{2}= -8\int_{4}^{8}}dx=-8[x]\right|_4 ^{8}=-8(8-4) \rightarrow \boxed{I_{2}=-32}](https://tex.z-dn.net/?f=I_%7B2%7D%3D%20-8%5Cint_%7B4%7D%5E%7B8%7D%7Ddx%3D-8%5Bx%5D%5Cright%7C_4%20%5E%7B8%7D%3D-8%288-4%29%20%5Crightarrow%20%5Cboxed%7BI_%7B2%7D%3D-32%7D)
Finally:
Answer:
QR=RS
Step-by-step explanation:
She knows that PRQ=TRS because of vertical angles.
She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.
The correlation coefficient of the data given in the table, using a calculator, is of 0.35
<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>
To find the coefficient, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 90, 95, 80, 84, 75, 80.
- The values of y are: 80, 90, 90, 95, 75, 85.
Using a calculator, the coefficient is of 0.35.
More can be learned about correlation coefficients at brainly.com/question/25815006
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The common factor would be 3 because 3 is the highest multiple of 15 and 9
Hey their,
3/4
1/4
1/12
1/36
0/60
The pattern is -1/x every 2 +x/8
How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12
Hopethis helped