8 and 28 is 4 i think i’m not 1000% sure i tried
Answer:
x = 3
Step-by-step explanation:
5(x-1)+3=13
Distribute the 5
(5x - 5) + 3 = 13
5x - 5 + 3 = 13
x = 3
Answer:
f = xy²-2x² satisfies that F = ∇f.
Step-by-step explanation:
F(x,y) = (y² - 4x) i + 2xy j
We want f(x,y) such that
![f_x(x,y) = y^2 -4x\\f_y(x,y) = 2xy](https://tex.z-dn.net/?f=f_x%28x%2Cy%29%20%3D%20y%5E2%20-4x%5C%5Cf_y%28x%2Cy%29%20%3D%202xy)
Lets find a primitive of y²-4x respect to the variable x. We need to think y (and y²) as constants here, so a primitive of y² would be xy² the same way that a primitive of k is xk (because we treat y² as constant). A primitive of x is x²/2, thus a primitive of 4x is 2x². Thus, a primitive of y²-4x is xy² - 2x². We can obtain any other primitive by summing a constant, however since we treated y as constant, then we have that
![f(x,y) = xy^2 - 2x^2 + c(y)](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20xy%5E2%20-%202x%5E2%20%2B%20c%28y%29)
where c(y) only depends on y (thus, it is constant repsect with x).
We will derivate the expression in terms of y to obtain information about c(y)
![2xy = f_y(x,y) = \frac{d}{dy} (xy^2 - 2x^2 + c(y) ) = 2xy -0 + \frac{d}{dy} c(y) = 2xy + \frac{d}{dy} c(y)](https://tex.z-dn.net/?f=2xy%20%3D%20f_y%28x%2Cy%29%20%3D%20%5Cfrac%7Bd%7D%7Bdy%7D%20%28xy%5E2%20-%202x%5E2%20%2B%20c%28y%29%20%29%20%3D%202xy%20-0%20%2B%20%5Cfrac%7Bd%7D%7Bdy%7D%20c%28y%29%20%3D%202xy%20%2B%20%5Cfrac%7Bd%7D%7Bdy%7D%20c%28y%29)
Thus,
is constant. We can take f(x,y) = xy²-2x². This function f satisfies that F = ∇f.
24057
99
21141
87
These are the correct answers.
Answer:
the equation that should be required is 0 = 2t
Step-by-step explanation:
Let us assume the hours of television be t
And, for hours outdoor be o
As the hours outdoors would be twice the hours of television so the equation is
0 = 2t
Therefore the equation that should be required is 0 = 2t
The same is relevant