Answer:

Step-by-step explanation:
We can write this rate as an ordinary differential equation.

Where a is proportional constant, P the population variable, and t the time.

Integrating each side of the equation.



To find C we need to use the initial condiction, it means evaluae P at t=0.


Now, we use the sentence the population has doubled in 5 years.

We can find "a" in this condition.




Finally, let's find how long will it take to triple.




I hope it helps you!
Answer:

Step-by-step explanation:
First let's find the value of 'p-q':

To find |p-q| (module of 'p-q'), we can use the formula:

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:

Now, we need to find the module of p and the module of q:

Then, evaluating |p-q|-{|p|-|q|}, we have:

Answer: 5x ( x - 5y )
Step-by-step explanation:
Answer:
9r
Step-by-step explanation:
Multiply 9 and r together.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.