Show that the maximum rate of change, with respect to radius, of the volume of a deflating balloon is four times the sphere's in
1 answer:
You might be interested in
Answer:
- This is an exponential function of the form
- We will use the following
- y for the number of bacteria at a given time
- x for the time
- a for the starting number of bacteria, which is 700
- b for the base of the exponent
- so lets find b, we need the following:
- r, which will be our rate, which is 4.3% or 0.043, so
- With this info, let's substitute, and get the equation as the answer:
- Put that into desmos, (I attached a screenshot for you)
Answer:
How many units need to be sold to produce the maximum revenue? 1000 units
How many in dollars is the maximum revenue when the maximum of units are sold? $350,000
Step-by-step explanation:
We get max value of a function if we differentiate it and set it equal to 0.
We need to differentiate r(x) and set it equal to 0 and solve for x.
<u><em>That would be number of units sold to get max revenue.</em></u>
<u><em /></u>
<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>
<u />
Before differentiating, we see the rules shown below:
Where
f'(x) is the differentiated function
Now, let's do the process:
So, 1000 units need to be sold for max revenue
Now, substituting, we get:
The max revenue amount is $350,000