We will use the right Riemann sum. We can break this integral in two parts.
We take the interval and we divide it n times:
The area of the i-th rectangle in the right Riemann sum is:
For the first part of our integral we have:
For the second part we have:
We can now put it all together:
![\sum_{i=1}^{i=n} [(\Delta x)^4 i^3-6(\Delta x)^2i]\\\sum_{i=1}^{i=n}[ (\frac{3}{n})^4 i^3-6(\frac{3}{n})^2i]\\ \sum_{i=1}^{i=n}(\frac{3}{n})^2i[(\frac{3}{n})^2 i^2-6]](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%20%5B%28%5CDelta%20x%29%5E4%20i%5E3-6%28%5CDelta%20x%29%5E2i%5D%5C%5C%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%5B%20%28%5Cfrac%7B3%7D%7Bn%7D%29%5E4%20i%5E3-6%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2i%5D%5C%5C%0A%5Csum_%7Bi%3D1%7D%5E%7Bi%3Dn%7D%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2i%5B%28%5Cfrac%7B3%7D%7Bn%7D%29%5E2%20i%5E2-6%5D)
We can also write n-th partial sum:
Answer:
The desired equation is y = 4x - 34
Step-by-step explanation:
Start with the general slope-intercept form y = mx + b.
The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one: 4. Then we have:
y = 4x + b
Find b. Do this by substituting 6 for x and -10 for y:
-10 = 4(6) + b. Then -10 - 24 = b, and b = -34.
The desired equation is y = 4x - 34
Answer: Yes, it is Unlikely.
Step-by-step explanation: All the animals added up equals to 55. Then 2/55 is converted to a percent which is 4% approximately
Answer:
false
Step-by-step explanation:
We are given table:
Input values (a) : 5 6 7 8 9
Output Values (b) : 3.8 4.6 5.6 ? ?
We need to find the missing values.
In order to find the common difference, we need subtract next output value from previous output value.
Therefore, common difference = 4.6 - 3.8 = 0.8.
In order to find next missing values, we need to add that common difference in previous value.
Therefore, next value of 5.6 is 5.6+ 0.8 = 6.4.
And other next value = 6.4 + 0.8 = 7.2.
<h3>Therefore, the common difference = 0.8 and missing outputs in table are 6.4 and 7.2.</h3>
