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22f a2f The two-dimensional Laplace equation ax = 0 describes the potentials and steady-state temperature distributions in a plane. Show that the function satisfies the

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22f a2f The two-dimensional Laplace equation ax = 0 describes the potentials and steady-state temperature distributions in a plane. Show that the function satisfies the two-dimensional Laplace equation. f(x,y) = ey sin 6x . . . Find the second-order partial derivatives of f(x,y) with respect to x and y, respectively. 12f Does the function satisfy the two-dimensional Laplace equation? O A. No, because the sum of a2f/ ax2 and a2f/ ay is not O. O B. No, because a f/ ax2 is not equal to a2flay2. O C. Yes, because a f/ax2 is equal to a2flay2. D. Yes, because the sum of 2f/ax2 and a2f/ ay2 is 0

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