Answer:
1) The most common place (mode) for people to jog is the path.
2) (The picture)
Step-by-step explanation:
1) The mode means what is most common, and since the path has 22 people, it is the most common place.
2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.
Answer:
Step-by-step explanation:
The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:
A differential equation of the form:
Will have a characteristic equation of the form:
Where solutions are the roots from which the general solution can be found.
For real roots the solution is given by:
For real repeated roots the solution is given by:
For complex roots the solution is given by:
Where:
Let's find the solution for using the previous information:
The characteristic equation is:
So, the roots are given by:
Therefore, the solution is:
As you can see, is the same solution provided by the problem.
Moving on, let's find the derivative of in order to find the constants
and
:
Evaluating the initial conditions:
And
Now we have found the value of the constants, the solution of the second-order IVP is: