Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

Answer:
5 + 3.5h = 29.50
Step-by-step explanation:
The flat fee means that you will be paid the money with no change to it.
So you will not multiply it.
3.5h means that you are adding 3.50 every hour according to the question
So summary:
5+3.5h = 29.50
Evaluation:
5+3.5h = 29.50
24.50 = 3.5h
h = 7
Sofia worked 7 hours
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
<h3>Hey there! </h3><h3 /><h3>

</h3><h3 /><h3>

</h3><h3 /><h3>~

</h3>
Given:
A space shuttle can travel at 28968 km/h.
To find:
The distance it can cover in 8 hrs.
Solution:
We have,
Speed of space shuttle = 28968 km/h.
So,
Distance covered by the space shuttle in 1 hour = 28968 km/h.
Distance covered by the space shuttle in 8 hour = (28968 × 8) km
= 231744 km
Therefore, the distance it can cover in 8 hrs is 231744 km.