Answer:
Table of values
<em>See attachment for graph</em>
Step-by-step explanation:
Given
Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When 
When 
When 
When 
When 
When 
So, we have:
Solving (b): The graph
See attachment
We can use the fact that, for 
,
Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)
By the ratio test, this series converges if
so the series has radius of convergence 
.
The measure of CB from the given figure is 8cm
<h3>What is a triangle?</h3>
A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;
- Equilateral triangle
- Scalene triangle
- Isosceles
The given triangle is a scalene triangle since <u>none of the sides are equal</u>
From the figure shown, we can see that the mea<em>sure of DF is equivalent to CE and EB</em>
Since CB = CE + EB
Given the following parameter
DF = 4cm
CE = EB = DF = 4cm
Substitute
CB = 4cm + 4cm
CB = 8cm
Hence the measure of CB from the given figure is 8cm
Learn more on triangles here; brainly.com/question/25215131
#SPJ1
2:30
2 hrs and 15 minutes later
=
4:45
2:30
+ 30
=
3:30
+ 25
= 3:55
4:45 - 3:55
= 50 minutes
He finished his project at 4:45.
He spent 50 minutes building the model.
