# (1 point) For each of the following vector fields F, decide whether it is conservative or... (1 point) For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, V f = F) with f(0,0) = 0. If it is not conservative, type N. A. F (x, y) = (-140 – 4y) i + (-4x + 12y)j f (x, y) = B. F (x, y) = -7yi - 6xj f(x,y) = C. F (2, y) = (-7 sin y)i + (-8y - 7x cos y)j f (x, y) = Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"     Please give a thumbs up if you are benefited.

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• ### (1 point) For each of the following vector fields F decide whether it is conservative or... (1 point) For each of the following vector fields F decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, Vf = F) with f(0,0) = 0. If it is not conservative, type N. A. F(, y) = (12x - 4y)i + ( 4x + 14y)j f (1,y) = B.FI,y) = 6yi + 7xj f (, y) = (6 sin y)i + (-8y + 6.0 cos y).j...

• ### (1 point) For each of the following vector fields F, decide whether it is conservative or... (1 point) For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, V f = F) with f(0,0) = 0. If it is not conservative, type N. A. F(x, y) = (-6x - y)i + (-x + 14y)j f (x, y) = B. F(x, y) = -3yi – 2xj f (x, y) = C. F(x, y) = (-3 sin...

• ### For each of the following vector fields F , decide whether it is conservative or not by...

For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, gradient f=F). Ifit is not conservative, type N.F(x,y)=(-6x+5y)i+(5x+10y)jF(x,y,z)=-3xi-2yj+kF(x,y)=(-siny)i+(10y-3xcosy)jF(x,y,z)=-3x^2i+5y^2j+5z^2kI don't understand how to calculate any of these. I know that they are all conservative.

• ### decide whether it is conservative or not by computing curl F

For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, gradient f=F). Ifit is not conservative, type N.F(x,y)=(-6x+5y)i+(5x+10y)jF(x,y,z)=-3xi-2yj+kF(x,y)=(-siny)i+(10y-3xcosy)jF(x,y,z)=-3x^2i+5y^2j+5z^2kI don't understand how to calculate any of these. I know that they are all conservative.

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For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential function f (that is, gradient f=F ). Ifit is not conservative, type N.A) F(x,y) = (4x+3y)i+(3x+6y)jf(x,y) = ?(B) F(x,y) = 2yi+3xjf(x,y) = ?(C) F(x,y) = 2xi+3yj+kf(x,y) = ?(D) F(x,y) = (2siny)i+(6y+2xcos(y))jf(x,y) = ?(E) F(x,y) = 2x^2i+3y^2j+3z^2kf(x,y) = ?

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