#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


Q1. THE FIRST ATTENDANCE QUESTION WAS:
Let a be the 7th digit of your RUID
Let b be the 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>

A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:
a=6 b=6
r(t)=<t^6,t^6,t^12> at the point <2^6,2^6,4^6>
t^6=2^6,t^6=2^6,t^12=4^6=2^12
t=2
r'(t)=<6t^5,6t^5,12t^11>
r"(t)=<30t^4,30t^4,132t^10>
plug in t=2 in r'(t) and r"(t)
r'(2)=<192,192,24576>
r"(2)=<480,480,135168>
r'(2)*r"(2)=<14155776,-14155776,0>
|r'(2)*r"(2)|=sqrt(14155776^2+(-14155776)^2+0^2)=20019290.41
|r'(2)|=sqrt(192^2+192^2+24576^2)=24577.49995
kappa(2)=20019290.41/24577.49995^3



Q2. THE  SECOND ATTENDANCE QUESTION WAS:
Who is your favourite Rock Band?

A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:

A Chinese rock band called New Pants.