A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
2 answers:
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Answer:
The solutions are linearly independent because the Wronskian is not equal to 0 for all x.
The value of the Wronskian is
Step-by-step explanation:
We can calculate the Wronskian using the fundamental solutions that we are provided and their corresponding the derivatives, since the Wroskian is defined as the following determinant.
Thus replacing the functions of the exercise we get:
Working with the determinant we get
Thus we have found that the Wronskian is not 0, so the solutions are linearly independent.
<h2>Hello!</h2>
The answer is:
Center: (-4,-4)
Radius: 2 units.
<h2>Why?</h2>To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where:
"h" and "k" are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (-4,-4)
Radius: 2 units.
Have a nice day!
Note: I have attached a picture for better understanding.