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Contact [7]
3 years ago
12

PLEASE HELP. I will mark branliest

Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer:

28

Step-by-step explanation:

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Answer:theyre the exact same number, so it cant be told

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Find the maximum rate of change of f(x, y) = <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%20xe%5E%7B2y%7D" id="TexFormula1"
astraxan [27]

The maximum rate of change occurs in the direction of the gradient vector at the given point, with magnitude equal to the norm of the gradient at that point.

f(x,y) = x^2 - xe^{2y} \implies \nabla f(x,y) = \left\langle 2x - e^{2y}, -2xe^{2y}\right\rangle \\\\ \implies \nabla f(2,0) = \left\langle 3, -4 \right\rangle \\\\ \implies \left\|\nabla f(2,0)\right\| = \sqrt{3^2 + (-4)^2} = \boxed{5}

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morpeh [17]
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3 years ago
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****-2x^2(-5x^2+4x^3) in standard form?
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