Question

Although it is not defined on all of space R³, the field associated with the line integral below is defined on a region that is simply connected, and the component test can be used to show it is conservative. Find a potential function for the field and evaluate the integral. \int_{(2,1,4)}^{(2,6,8)} 27x^2 dx + \frac{z^2}{y} dy + 2z \ln y dz A general expression for the infinitely many potential functions is f(x,y,z) = Evaluate the line integral. \int_{(2,1,4)}^{(2,6,8)} 27x^2 dx + \frac{z^2}{y} dy + 2z \ln y dz = (Type an exact answer.)

          Although it is not defined on all of space R³, the field associated with the line integral below is defined on a region that
is simply connected, and the component test can be used to show it is conservative. Find a potential function for the
field and evaluate the integral.
\int_{(2,1,4)}^{(2,6,8)} 27x^2 dx + \frac{z^2}{y} dy + 2z \ln y dz
A general expression for the infinitely many potential functions is f(x,y,z) = 
Evaluate the line integral.
\int_{(2,1,4)}^{(2,6,8)} 27x^2 dx + \frac{z^2}{y} dy + 2z \ln y dz =  (Type an exact answer.)

Although it is not defined on all of space R³, the field associated with the line integral below is defined on a region that
is simply connected, and the component test can be used to show it is conservative. Find a potential function for the
field and evaluate the integral.
∫(2,1,4)^(2,6,8) 27x^2 dx + (z^2)/(y) dy + 2z lny dz
A general expression for the infinitely many potential functions is f(x,y,z) =
Evaluate the line integral.
∫(2,1,4)^(2,6,8) 27x^2 dx + (z^2)/(y) dy + 2z lny dz = (Type an exact answer.)

Added by Jeanette J.

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