Question: The masses of quantities \(A\), \(B\) and \(C\) are related by the equation \(A^{2} B=6 B+6 C\)

At the moment that there are 5 grams of \(A\) and 20 grams of \(C\), the mass of \(A\) is increasing at a rate of 1.5 grams per minute and the mass of \(C\) is increasing at a rate of 1.8 grams per minute.

1. Use the method of related rates to determine how fast the mass of \(B\) is changing at this moment. Round your final answer to 2 decimal places if appropriate.
2. Enter the numerical value of your answer from part a) (do not include units in your entry).

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Solution: The downloadable solution consists of 2 pages
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