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15. Use the properties of continuity to determine the set of points at which each of the following functions is continuous. Justify your answers.

15. Use the properties of continuity to determine the set of points at which each of the following functions is continuous. Justify your answers. a. The function f defined by f(x,y) b. The function g defined by g(x, y) = c. The function h defined by d. The function k defined by k(x, y) = zy x + y h(x, y) = { if (x,y) = (0,0) if (x, y) = (0,0) = I+2y z-y sin(z) 1+e {*** if (x, y) = (0,0) if (x, y) = (0,0)

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