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Wittaler [7]
3 years ago
5

What two variables are used most often in 2-variable equations?

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0
I believe it is x and y
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Solve this multistep equation: 3x+20 = x + 30
agasfer [191]

Answer:

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Step-by-step explanation:

Subtract 20

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if 28 students out of 35 in our class enjoy using electronics in their spare time, how many would you expect out of the 300stude
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What is the common ratio Between successive terms in the sequence? 1.5,1.2,0.96,0.768
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The surface area of a sphere is decreasing at the constant rate of 3*pi sq. cm/sec . ? At what rate is the volume of the sphere
Eva8 [605]
Surface area of a sphere: A=4\pi r^2
Volume of a sphere: V=\dfrac43\pi r^3

Differentiate both with respect to an arbitrary variable for time:
\displaystyle\frac{\mathrm dA}{\mathrm dt}=8\pi r\frac{\mathrm dr}{\mathrm dt}
\displaystyle\frac{\mathrm dV}{\mathrm dt}=4\pi r^2\frac{\mathrm dr}{\mathrm dt}

You're given that \dfrac{\mathrm dA}{\mathrm dt}=-3\pi when r=2, so you can use this in the first equation to solve for \dfrac{\mathrm dr}{\mathrm dt}.

-3\pi=8\pi \times2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=-\dfrac3{16}

Now use this to find \dfrac{\mathrm dV}{\mathrm dt}.

\displaystyle\frac{\mathrm dV}{\mathrm dt}=4\pi \times2^2\times\left(-\dfrac3{16}\right)=-3\pi
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x-15

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