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Olin [163]
3 years ago
14

Which descriptions from the list below accurately describe the relationship

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

B is the answer

Step-by-step explanation:

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The rate a which the surface area, S, decreases is
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The surface area is
S = 4πr²
where r =  the radius at time t.

Therefore
\frac{dS}{dt} = \frac{dS}{dr}  \frac{dr}{dt} =8 \pi r  \frac{dr}{dt} \\\\ -8 \pi  = 8 \pi r  \frac{dr}{dt} \\\\  \frac{dr}{dt} =- \frac{1}{r}

When r = 3 cm, obtain
\frac{dr}{dt}]_{r=3} = - \frac{1}{3} \, cm/s

Answer:  -1/3  cm/s  (or -0.333 cm/s)
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Please help me I am stuck
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