Bioactive molecules have diverse medical and industrial uses. Statins from {Monascus purpureus} lower cholesterol, reducing cardiovascular risks. Cyclosporin A from {Trichoderma polysporum} suppresses immune responses, vital for organ transplants.
Penicillin, an antibiotic from {Penicillium notatum}, combats bacterial infections.
Citric acid from {Aspergillus niger} serves as a food preservative and additive. Lactic acid from {Lactobacillus} aids food preservation.
These microorganisms' bioactive molecules highlight their significance in medicine, agriculture, and industry.

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?