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Problem

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8 Nov 2021

Given information

Given that  be the area of a tissue culture and   be the final area of the tissue, and the rate of growth of the area is jointly proportional to   and .

 

Step-by-step explanation

Step 1.

It is given that the rate of growth of the area is jointly proportional to   and .

So, we have

   

   

Here, is the proportionality constant.

We can say that the tissue will grow the fastest when   is the maximum.

To find that, we will need to differentiate .

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