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
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
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)
Thus, is constant. We can take f(x,y) = xy²-2x². This function f satisfies that F = ∇f.
Let the total money earned be x
since each of them get equal share, therefore :
And here, we used <u>Total earning</u> as the variable in the problem ~
So, correct choice is D
I would say that he would probably need 10 cherries but if you can give me a spicific answer i can answer it more reasonable
Be E.N.D.bddndmmfmddndnxncnfnd
Answer:
94.2 cm³
Step-by-step explanation:
Volume of cone= ⅓πr²h
Let's identify the radius of the base and the height of the cone!
r= 3 cm
h= 10 cm
Next, substitute r= 3 and h= 10 into the volume of cone formula.
Volume of cone
= ⅓(3.14)(3²)(10)
= 94.2 cm³