Answer:
Step-by-step explanation:
The complete question is
Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.
Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by
Unfortunately, the integral cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the polylogarithm function with n=2).
Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0
Answer:
-12
Step-by-step explanation:
The ratio of the height of shape A to the height of shape C is
<h3>Calculations and Parameters:</h3><h3>First step:</h3>
Recall that similar figures have the same scale factor squared due to the ratio of its surface area.
Hence,
We would make:
- z-----> the scale factor
- x----> surface area shape A
- y----> surface area shape B
Therefore, the ratio of the height of shape A to the height of shape B is =
<h3>Next step:</h3>
To find the ratio of the height of shape B to the height of shape C, we would perform a similar operation which is:
The ratio is:
<h3>Final step:</h3>
To find the ratio of the height of shape A to the height of shape C would be:
= 6/20
= 3/10
Read more about the ratios here:
brainly.com/question/12357318
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10 times larger than a thousand. Also one decimal place larger