Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
e oil change for one car required 5 quarts of oil and cost $24.35. The oil change for the other car required 7 quarts of oil and cost $28.35. How much is the labor fee and how much is each quart of oil?
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Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>The volume of a sphere of radius r is given by:
Applying implicit differentiation, the rate of change is given by:
In this problem, we have that:
Hence the rate of change of the radius is given as follows:
The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer:
<h2>Step-by-step explanation:
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