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)
and by evaluating in the limits we have

Hope this helps
regards
Answer:
The three main types of geography are physical, environmental and human geography. There are other sub-branches of geography such as political geography, historical geography and religious geography.
Physical geography deals with the study of Earth and its structure. The landforms, continents, oceans and tectonic movements are a part of physical geography. The formation of rocks, weathering, forces of erosion, winds, ocean currents and rivers are all studied as a part of physical geography. Environment geography deals specifically with the study of the interaction of plants and animals with Earth. Human geography focuses on how human societies flourish with the help of natural resources. It deals with the study of the evolution of cultures and religious beliefs. Economic, cultural and political geography are sub-branches of human geography.
Step-by-step explanation:
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Answer:
120 x W = M
Step-by-step explanation:
If she makes 120 per week working then the number of the week she has work multiplied by 120 is her total for whichever week