You are Mr. Shyam Sundar, Professor of Psychology. You are invited by S.K.M. College, Mahboob Nagar to be the keynote speaker at its Annual Conclave on ‘Student Health – The Emotional Impact of Social Media.’ Draft a reply letter expressing your inability to accept the invitation and also cite a reason for refusal.
The Principal
S.K.M. College
Mahboob Nagar
Subject: Regret for Inability to Accept Invitation
Dear Sir/Madam,
I am honored by your invitation to be the keynote speaker at the Annual Conclave on ‘Student Health – The Emotional Impact of Social Media’ at your esteemed institution. However, I regret to inform you that I am unable to accept the invitation due to prior professional commitments.
I sincerely appreciate the opportunity and hope to contribute in the future. Wishing you great success with the event.
Yours sincerely,
Shyam Sundar
Professor of Psychology

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?