Graph the function f(x)=3/2x−4. Use the line tool and select two points to graph.
2 answers:
Answer:
The two points on the graph are (0,-4) and (2.667,0)
Step-by-step explanation:
We are given that a function
We have to graph the function using line tool and select two points to graph.
Let
Substitute x=0 then, we get
Therefore, the equation cut the y- axis at point (0,-4).
Substitute y=0 then we get
Therefore, the equation cut the x- axis at point (2.667,0).
Now, mark the point on the graph and meet the points.
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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: