Step-by-step explanation:
The answer is dhdt=325πmmin.
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
V=πr2h
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
V=π(5m)2h
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
dVdt=(25m2)πdhdt
In the problem, we are given 3m3min which is dVdt. So we substitute this in:
dhdt=3m3min(25m2)π=325πmmin
We are given:
Set A = <span>{ X | X is an even whole number between 0 and 2}
This notation means that all integers X that is an even whole number between 0 and 2 is included in Set A. This means that set A is a null set. Since there are no even numbers between 0 and 2. </span>
Answer:
independent
Step-by-step explanation:
they don't affect each other
Just find the inverse cosine of 1 which is 0 degrees.