We're looking for a scalar function
such that
. That is,


Integrate the first equation with respect to
:

Differentiate with respect to
:

Integrate with respect to
:

So
is indeed conservative with the scalar potential function

where
is an arbitrary constant.
Answer:
50%
Step-by-step explanation:
⠀⠀┏━╮╭━┓⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀┃┏┗┛┓┃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀╰┓▋▋┏╯⠀⠀⠀⠀⠀⠀⠀⠀
⠀╭━┻╮╲┗━━━━━╮╭╮⠀
⠀┃▎▎┃╲╲╲╲╲╲╲┣━╯⠀
⠀╰━┳┻▅╯╲╲╲╲╲┃⠀⠀⠀
⠀⠀⠀╰━┳┓┏━┳┓┏╯⠀⠀⠀
⠀⠀⠀⠀⠀┗┻┛⠀┗┻┛⠀⠀⠀⠀
we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3
ANSWER : -2 and -3
ok done. Thank to me :>
Hello there! The answer to your question is a = 4.
To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.
Our first step is to add 4 to both sides so the 4 cancels out on the left side.
-4+4 + 4a = 12+4
4a = 16
Next, we divide both sides by 4 to finish isolating a.
4/4a = 16/4
a = 4
Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.
-4 + 4(4) = 12
-4 + 16 = 12
12 = 12
Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)