it is 140° Bc angle S and Z should add up to 180
Answer:
Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is
there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have
and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
![V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5B28x%2B%5Cfrac%7B1%7D%7Bx%7D%2Bxln%5E2x-12xlnx-6lnx%5D)
and by evaluating in the limits we have
Hope this helps
regards
Answer:
16x³ + 9x² + 9x + 13
Step-by-step explanation:
Given
6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9
Sum the 2 expressions by adding like terms, that is
= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)
= 16x³ + 9x² + 9x + 13
Answer:
Hello dear asker, you have to put the picture of the graph, then I would be happy to help
The change, from the predicted data to the actual data, in the average number of downloads of the application for Company A from the day the application was launched to 4 days after the application was launched would decrease by approximately 244 downloads per day.
The change, from the predicted data to the actual data, in the average number of downloads of the application for Company B from the day the application was launched to 4 days after the application was launched would increase by approximately 174 downloads per day.
Based on this information, Company B made a more accurate prediction of the average number of downloads of the application per day.
