Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where 
. Each interval has length 
.
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
Answer:
108 Square Yards
2 Hours
Step-by-step explanation:
<h2><u>
PLEASE MARK BRAINLIEST</u></h2>
All you do is look at the question and it says he mowed 108 square yards in 2 hours.
The answer to the question
Answer: positive, linear association
Step-by-step explanation: that is the answer, because the dots are rising up in a slope
Answer:
A
Step-by-step explanation:
1. A horizontal number line is shown with labels at negative 50, 0, and 35. A red arrow (labeled withdrew 50 dollars) begins at 0 and ends at negative 50. A blue arrow (labeled deposited 35 dollars) begins at 0 and ends at 35.
2. A horizontal number line is shown with labels at negative 50 and 0. A red arrow (labeled withdrew 50 dollars) begins at 0 and ends at negative 50. A blue arrow (labeled deposited 35 dollars) begins at negative 50 and ends at negative 15.
3. A horizontal number line is shown with labels at negative 35, 0, and 50. A blue arrow (labeled deposited 35 dollars) begins at negative 35 and ends at 0 A red arrow (labeled withdrew 50 dollars) begins at 50 and ends at 0.
4. A horizontal number line is shown with a label at 0. A blue arrow (labeled deposited 35 dollars) begins at 0 and ends at 35. A red arrow (labeled withdrew 50 dollars) begins at 35 and ends at negative 15.
