Determine the set of points at which the function is continuous. f(x,y)={x2+xy+y2xy0 if (x,y)=(0,0) if (x,y)=(0,0){(x,y)∣(x,y)=(0,0)}{(x,y)∣x∈R and y=0}{(x,y)∣x∈R and y∈R}{(x,y)∣x>0 and y>0}{(x,y)∣x⋅y=0}

To determine the set of points at which the function f(x,y) is continuous, we need to examine the fu...

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Pregunta: Determine the set of points at which the function is continuous. f(x,y)={x2+xy+y2xy0 if (x,y)=(0,0) if (x,y)=(0,0){(x,y)∣(x,y)=(0,0)}{(x,y)∣x∈R and y=0}{(x,y)∣x∈R and y∈R}{(x,y)∣x>0 and y>0}{(x,y)∣x⋅y=0}
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Determine the set of points at which the function is continuous.

f (x, y) = {\frac{x y}{x ^{2} + x y + y ^{2}} 0 if (x, y) \neq = (0, 0) if (x, y) = (0, 0) {(x, y) ∣ (x, y) \neq = (0, 0)} {(x, y) ∣ x \in R and y \neq = 0} {(x, y) ∣ x \in R and y \in R} {(x, y) ∣ x > 0 and y > 0} {(x, y) ∣ x \cdot y \neq = 0}