Answer:
Step-by-step explanation:
we have
Solve the system by graphing
The x-coordinate of the intersection point both graphs represent the number of years in which the human population and the coyote population reach the same number
using a graphing tool
The solution is
see the attached figure
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.
It would be 3.72 L because if you have three times the amount of 1.24 L then you would multiply 1.24 L times 3 and the answer is 3.72 L
She should us the coupon for $5 because with 10% she only gets 1 dollar of!
have a nice day!<3