subject
Mathematics, 30.03.2020 21:36 arianaguerin

Show that if the vector field F = Pi + Qj + Rk is conservative and P, Q, R have continuous first-order partial derivatives, then the following is true. ∂P ∂y = ∂Q ∂x ∂P ∂z = ∂R ∂x ∂Q ∂z = ∂R ∂y . Since F is conservative, there exists a function f such that F = ∇f, that is, P, Q, and R are defined as follows. (Enter your answers in the form fx, fy, fz.) P = Q = R = Since P, Q, and R have continuous first order partial derivatives, says that ∂P/∂y = fxy = fyx = ∂Q/∂x, ∂P/∂z = fxz = fzx = ∂R/∂x, and ∂Q/∂z = fyz = fzy = ∂R/∂y.

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 17:00
Joseph haydn pet store offers wide variety of leashes for dogs. the store purchases one popular type of leash from its manufacturer for $4.38 each. joseph haydn pets marks up leashes at a rate of 238% of cost. what is the retail price of the popular leash?
Answers: 1
question
Mathematics, 21.06.2019 18:30
Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).
Answers: 1
question
Mathematics, 21.06.2019 20:30
Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x
Answers: 2
question
Mathematics, 21.06.2019 21:50
Which of the following equations is equivalent to x/3-6/x=1
Answers: 3
You know the right answer?
Show that if the vector field F = Pi + Qj + Rk is conservative and P, Q, R have continuous first-ord...
Questions
question
Mathematics, 03.07.2019 09:00
question
Mathematics, 03.07.2019 09:00