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:

Applying <em>implicit differentiation</em>, the rate of change is given by:

For this problem:
- Inflation rate of 200 cubic feet per minute, hence

- Radius is of 5 feet, hence

Then:




The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:

Hence, the <em>rate of change</em> is:

Hence:

The surface area is changing at a rate of 80 feet squared per minute.
A similar problem is given at brainly.com/question/9543179
Answer:
Either by getting a job, or doing some kind of work that can earn you money to pay for monthly expenses
Explanation:
An example of Monitoring progress and modeling with mathematics algebra is solve the Linear Equations of x − 3 = -5.
<h3>What is Progress monitoring?</h3>
In project management, progress monitoring is known to be the act of forming project plans, setting goals and systematically analyzing results to known the progress of the project. This can also be done through the use of mathematical functions.
The Linear Equations of x − 3 = -5.
x = -5 + 3
x = -2
Therefore, the answer is -2.
Learn more about Monitoring progress from
brainly.com/question/25840534
Private clans add a lot of other progress sharing features, so they are good for classrooms. They can also control membership more easily, since you can only join with the link, but all private clan members have to have CodeCombat subscriptions.
A mass movement of funds invested in the stock market could result in a stock market crash such as that of 1929.