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Mathematics, 26.10.2019 03:43 miguelmike2895
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. βp βy = βq βx βp βz = βr βx βq βz = βr βy . since f is conservative, there exists a function f such that f = βf, 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 βp/βy = fxy = fyx = βq/βx, βp/βz = fxz = fzx = βr/βx, and βq/βz = fyz = fzy = βr/βy.
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Show that if the vector field f = pi + qj + rk is conservative and p, q, r have continuous first-ord...
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