Please answer this question!! (Language)
1 answer:
You might be interested in
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:
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:
Finally:
Answer:
1. Figure 3
2. 2881.4 cm³
Step-by-step explanation:
The graph in figure 3 has a curve that fits the data best because it captures most of the points unlike the other two curves.
The curve in figure 3 has the equation;
2.
When using x=8, substitute the value of x in the equation with 8 to get
y = -16.9*64 + 430*8 + 523
y= 2881.4
= 2881.4 cm³