Answer:
3
Step-by-step explanation:
In order to do this equation, your first step is to use the Order of Operations, or PEMDAS, which means that you multiply (M) two times two first before subtracting the equation (S). 2 times 2 is 4. 4 - 1 = 3. Hope I helped! :)
To find f(2), you just need to replace x for 2.
1/3•4^(2)
The answer is 16/3 or 5.3333...
Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

Answer:
6
Step-by-step explanation:
We can obtain the greatest common factor by listing the factors of the 2 numbers, that is
Factors of 18 are 1, 2, 3, 6, 9, 18
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The common factors are 1, 2, 3, 6
The greatest common factor is 6