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olga_2 [115]
3 years ago
15

Consider f and c below. f(x, y, z) = (y2z + 2xz2)i + 2xyzj + (xy2 + 2x2z)k,

Mathematics
1 answer:
qaws [65]3 years ago
8 0
\dfrac{\partial f}{\partial x}=y^2z+2xz^2
f(x,y,z)=xy^2z+x^2z^2+g(y,z)

\dfrac{\partial f}{\partial y}=2xyz+\dfrac{\partial g}{\partial y}=2xyz
\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=xy^2+2x^2z+\dfrac{\mathrm dh}{\mathrm dz}=xy^2+2x^2z
\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=0

\implies f(x,y,z)=xy^2z+x^2z^2+C
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A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each
liubo4ka [24]

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Step-by-step explanation:

Total number of tables in the restaurant = 50

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So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

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5 0
3 years ago
fiona draws a 24 centimeter rectangle.gregory draws a 24 square inch rectangle.whose rectangle is in area .how do you know
Valentin [98]

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2 years ago
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