UNIVERSITY OF GUYANA Faculty of Engineering and Technology Department of Engineering Mathematics and Management Unit Examination 1 Part B EMT 3100 Engineering Mathematics 1V Date: January 7, 2022 Duration: 1 hrs Time: 9:15 Hrs. Place: Zoom Lecturer: R Alleyne Instructions to Candidates: Candidates are required to answer the Question below and submit photograph(s) of solution via whatsapp at 6811110 followed by a pdf version to email ruelalleyne@yahoo.com. Please show all steps in details. Question 1 The ends of an insulated rod PQ, 20 units long, are maintained at 0°C. At time t=0 the temperature within the rod rises uniformly from each end reaching 4°C at the midpoint of PQ. Find an expression for the temperature u(x,t) at any point in the rod, distant x from P at any time t after t=0. Use c²=1. [20 marks] End of Examination!