Determine the domain of the function f(x,y)=3ln(−3x−2y−2) dom(f)={(x,y)∈R2:y≥−32x+2} dom(f)={(x,y)∈R2:y≤−32x+2} dom(f)={(x,y)∈R2:y −23x+2} dom(f)={(x,y)∈R2:y<−2−3x−2}Determine the gradient vector ∇f(x,y) of the function f(x,y)=−x2y3−5yx Note that you need to use the square brackets "[" and "]" typed from

Determine the domain of the function

Pregunta: Determine the domain of the function f(x,y)=3ln(−3x−2y−2) dom(f)={(x,y)∈R2:y≥−32x+2} dom(f)={(x,y)∈R2:y≤−32x+2} dom(f)={(x,y)∈R2:y<−23x+2} dom(f)={(x,y)∈R2:y≥−23x+2} dom(f)={(x,y)∈R2:y>−23x+2} dom(f)={(x,y)∈R2:y<−2−3x−2}Determine the gradient vector ∇f(x,y) of the function f(x,y)=−x2y3−5yx Note that you need to use the square brackets "[" and "]" typed from
9&10

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Determine the domain of the function $f (x, y) = 3 ln (- 3 x - 2 y - 2)$ $dom (f) = {(x, y) \in R^{2} : y \geq - \frac{2 x + 2}{3}}$ $dom (f) = {(x, y) \in R^{2} : y \leq - \frac{2 x + 2}{3}}$ $dom (f) = {(x, y) \in R^{2} : y < - \frac{3 x + 2}{2}}$ $dom (f) = {(x, y) \in R^{2} : y \geq - \frac{3 x + 2}{2}}$ $dom (f) = {(x, y) \in R^{2} : y > - \frac{3 x + 2}{2}}$ $dom (f) = {(x, y) \in R^{2} : y < - \frac{- 3 x - 2}{2}}$ Determine the gradient vector $\nabla f (x, y)$ of the function $f (x, y) = - \frac{2 y ^{3}}{x} - 5 y x$ Note that you need to use the square brackets "[" and "]" typed from the keyboard to enclose your vector. $\nabla f (x, y) =$