#ATTENDANCE QUIZ FOR LECTURE 2 of Dr. Z.'s Math336 Rutgers University

#Email  ShaloshBEkhad@gmail.com 
#Subject: p2
#p2NikitaJohn.txt

#Right after attending the lecture  but no later than  Tue., Sept. 7, 4:00pm, 2021, 4:00pm

1. Who was Sir Ronald Ross? What is his claim to fame?
	Sir Ronald Ross was a British medical doctor, and his claim to fame was discovering
	the transmission methods of malaria. It gained him the Nobel Prize in 1902,
	making him the first British Nobel laureate and the first Nobel laureate born outside
	of Europe (he was born in India)

2. Copy the Maple code for Question 3 from the Getting to Know You Quiz, remove option remember,
and rename it aStupid, and compute aStupid(100). How long does it take?
	Too long. It got to around 1600s and I started to lose my patience (I also had class soon)
	so I force quit Maple

3. Let a1:= FIFTH digit in your RUID
   Let a2:= SECOND digit in your RUID
   Let a3:= THIRD digit in your RUID
   Use Maple to solve the differential equation y'(t) = a1*t^a2/y^a3, y(1) = a2
	The final answer Maple gave was that y(t) = 8, I think because the fifth digit in my RUID
	was 0

4. What was the middle name of Hilda Hudson, the collaborator of Ronald Ross?
	Hilda's middle name was Phoebe

5. Let a1:= EIGHTH digit of RUID
   Let a2:= your age
   Let a3:= your mother's age
   Use Maple to solve the differential equation a1*y''(t)+a2*y'(t)+a3*y(t) = 0, subject to
   y(0) = 1, y'(0) = 0
	The answer for this question is provided in the attached Maple pdf, its quite complicated
	to write in the text file	

6. Let a1:= your father's age
   Let a2:= your mother's age
   Let a3:= your younger sibling's age
   Let A be the 3x3 matrix [[a1,a2,a3],[a2,a3,a1],[a3,a2,a1]]
   Find (in floating points) the SECOND largest eigenvalue (in absolute value) and the
   corresponding eigenvector
	The second largest eigenvalue is 33, and the corresponding eigenvector is [1,1,1]
	(assuming I read the Maple output correctly)