Answer:
Oral cavity is part of the upper GI tract.
The structure of the basilar membrane which is from high to low is the cochlea
This basilar membrane is a membrane which is found within the cochlea deep in the inner ear.
<h3>What is the basilar membrane?</h3>
The basilar membrane is defined as a stiff structural element within the cochlea of the inner ear which separates two liquid-filled tubes that run along the coil of the cochlea, the scala media and the scala tympani.
In conclusion, the structure of the basilar membrane which is from high to low is the cochlea
This basilar membrane is a membrane which is found within the cochlea deep in the inner ear.
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This situation best describes a short term goal.
Short-term goals are things you want to achieve quickly. Short-term goals can help bring about big changes. Short-term goals are what you want to achieve in the near future. Near future means today, this week, this month, or even this year. Short-term goals are things you want to achieve quickly.
Anything that takes a long time to achieve is called a long-term goal. Both long-term and short-term goals will assist your career. Short-term goals aid you to direct your time and help you think about what you can do now. Short-term goals may seem small, but achieving them can guide to huge accomplishments in your life and career.
The correct answer is option C.
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Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
- The radius is increasing at a rate of 0.6366 feet per minute.
- The surface area is changing at a rate of 80 feet squared per minute.
The volume of an <u>sphere of radius r</u> is given by:
![V = \frac{4\pi r^3}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D)
Applying <em>implicit differentiation</em>, the rate of change is given by:
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
For this problem:
- Inflation rate of 200 cubic feet per minute, hence
![\frac{dV}{dt} = 200](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20200)
- Radius is of 5 feet, hence
![r = 5](https://tex.z-dn.net/?f=r%20%3D%205)
Then:
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
![200 = 4\pi (5)^2\frac{dr}{dt}](https://tex.z-dn.net/?f=200%20%3D%204%5Cpi%20%285%29%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
![\frac{dr}{dt} = \frac{200}{100\pi}](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20%5Cfrac%7B200%7D%7B100%5Cpi%7D)
![\frac{dr}{dt} = 0.6366](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%200.6366)
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
![S = 4\pi r^2](https://tex.z-dn.net/?f=S%20%3D%204%5Cpi%20r%5E2)
Hence, the <em>rate of change</em> is:
![\frac{dS}{dt} = 8\pi r\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%208%5Cpi%20r%5Cfrac%7Bdr%7D%7Bdt%7D)
Hence:
![\frac{dS}{dt} = 8\pi (5)(0.6366) = 80](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%208%5Cpi%20%285%29%280.6366%29%20%3D%2080)
The surface area is changing at a rate of 80 feet squared per minute.
A similar problem is given at brainly.com/question/9543179
The support used by the author of the article titled "facing our fears" is;
A quote from a University of Michigan professor
- From the article titled "facing our fears", the quote that was used was that from Stephen Maren who was a professor of psychology at University of Michigan where he said: "we are making a lot of progress. We take everything we learned from basic animal studies and incorporate it into the clinical practices that help people. Things are starting to unite in a very important way."
- From that quote above we see that it is a support to buttress the point of facing our fears.
Read more about authors support at; brainly.com/question/12809344