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Nutka1998 [239]
3 years ago
5

Find the value of w.

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0
W?
you mean x or z or O ???
xoxo
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Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is
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<span>Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?    =</span>65%
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3 years ago
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EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
3 years ago
9.4.15
Brilliant_brown [7]

Answer:

250

Step-by-step explanation:

mulitply 28.95 by 4 to get that out of the way, this equals 115.

subtract: 200-115=85

divide: 85/.34

answer:250

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Which of the following is true about the expression <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\s
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Answer:

6

Step-by-step explanation:

\sqrt{3} \times  \sqrt{12} \\  =  \sqrt{36}  \\  =  \sqrt{6}  \times  \sqrt{6}  \\  = 6

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C and d please help me im stuck i promise i will give a thank
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Answer:

attach the graph in orfer for us to answer

Step-by-step explanation:

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