#ATTENDANCE QUIZ for Lecture 5 of Math251(Dr. Z.)
#EMAIL  RIGHT AFTER YOU WATCHED THE VIDEO
#BUT NO LATER THAN  Sept. 21, 2020, 8:00PM (Rutgers time)
#THIS .txt FILE (EDITED WITH YOUR ANSWERS)
#TO:
#DrZcalc3@gmail.com
#Subject: aq5
#with an ATTACHMENT CALLED:
#aq5FirstLast.txt
#(e.g. aq4DoronZeilberger.txt)



#THE ATTENEDANCE QUESTIONS AND ANSWERS IN LECTURE 5

#LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS

#ATTENEDANCE QUESTION 1:

Let a:=7th digit of your RUID
Let b:=9th digit of your RUID
Find the curvature of the curve

r(t)=<t^a, t^b, t^(2a)> at the point <2^a, 2^b, 4^a>

a=1
b=0
t=1

r(t)=<t^1, t^0, t^(2*1)>=<1, 1, 1>
r'(t)=<1, 0, 2t>
r''(t)=<0, 0, 2>

r'(1)=<1, 0, 2>
r''(1)=<0, 0, 2>

r'(1) x r''(2)

i j k
1 0 2
0 0 2

i(2*0-2*0)-j(1*2-2*0)+k(1*0-0*0)=0i-2j-0k=<0, 2, 0>
sqrt(0^2+2^2+0^2)=sqrt(0+4+0)=2
ans/sqrt(1^2+1^2+1^2)=sqrt(1+1+1)=3
kappa(1)=2/9

#ATTENEDANCE QUESTION 2:

Who is your favorite rock band:

Metallica