The pattern is count by 2
Answer:
![R_5=1.12](https://tex.z-dn.net/?f=R_5%3D1.12)
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
![f(x)=x^2+x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2Bx)
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
![\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CDelta%20x%3D%5Cfrac%7B1-%28-1%29%7D%7B5%7D%3D%5Cfrac%7B2%7D%7B5%7D)
List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:
![\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12](https://tex.z-dn.net/?f=%5Cdisplaystyle%20R_5%3D%5Cfrac%7B2%7D%7B5%7D%5Cleft%28-0.24%2B-0.16%2B0.24%2B0.96%2B2%29%3D%201.12)
Answer:
-3
Step-by-step explanation:
f(x)= x²+3x-1
f(-1)= (-1)²+3(-1)-1
= 1-3-1
= -2-1
= -3
Answer:
11.)
We can let the scores we don't know by x, and we know that tokay had 14 more points than Lodi. This can be shown as the following:
x + (x+14) = 162
2x+14=162
162-14= 148
148/2 = 74
Therefore Lodi scored 74 points.
12.)
We can substitute the prices we don't know by x and have the following:
4x+x=6.50
5x=6.50
6.50/5= 1.3
4x1.3= 5.2
Therefore the sandwich cost $5.20 and the drink costs $1.30
Answer:
Hope this helps :) look at the picture because I dont know how to type that
Step-by-step explanation: