Uploaded by fsterile2022

EMT 3100 2022 Test 1 Part B

advertisement
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!
Download