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

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p2
#with an attachment called
#p2FirstLast.txt
#(e.g. p2DoronZeilberger.txt)

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

LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS

Question 1: Who was Sir Ronald Ross? What was his claim to fame?

Answer 1: Sir Ronald Ross was a doctor who received the Noble Prize for Physiology or Medicine after researching the transmission of malaria. This was also his "claim to fame". 

Question 2: Copy Maple Code into your own computer, but delete option remember. Execute for 100. Try to compute and see how long it takes you. 

Answer 2: I let it run for over 2 minutes, and it did not compute in that much time. When I used option remember, it computed instantly. 

Question 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

Answer 3: My RUID: 185007365, so a1 = 0, a2 = 8, a3 = 5
a1 := 0;
                            a1 := 0

a2 := 8;
                            a2 := 8

a3 := 5;
                            a3 := 5

dsolve({diff(y(t), t) = a1*t^a2/y^a3, y(1) = a2}, y(t));
y(t)=8

Question 4: What was the middle name of Hilda Hudson, the collaborator of Sir Ronald Ross?

Answer 4: Phoebe

Question 5: Let a1:= 8th digit of RUID, a2:=your age, a3:=your mother's age. Solve with Maple the diff equation
a1*y''(t)+a2*y'(t)+a3*y(t)=0, subject to y(0)=1, y'(0)=0.

Answer 5: a1 = 6, a2 = 21, a3 = 51
a1 := 6;
                            a1 := 6

a2 := 21;
                            a2 := 21

a3 := 51;
                            a3 := 51

dsolve({D(D(y))(t)*a1+a2*D(y)(t))+a3*y(t)=0, y(0)=1, D(y)(0)=0}, y(t));

Received: invalid answer. Will try again after finishing the lecture. 

Question 6: let a1:=father's age, a2:=mother's age, a3:=younger sibling's age, Let A be 3x3 matrix [[a1, a2, a3], [a2, a3, a1], [a3, a2, a1]] Find (in floating points) the second largest eigenvalue (in absolute value) and corresponding eigenvector

Answer 6: a1 = 51, a2 =  51, a3 = 0
Second largest eigenvalue: 51
Eigenvector: [-1, 0, 1]