A sparged stirred-tank bioreactor is a commonly used vessel for carrying out fermentation and large-scale cultivation of microorganisms or cells. The key components of its structure include:
The working of the bioreactor involves the following steps:
The sparged stirred-tank bioreactor is an essential tool in biotechnology and industrial microbiology for culturing cells under controlled conditions, especially for the production of pharmaceuticals, enzymes, and other biologically important products.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?