#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


Attendance 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>

Answer: 
r(t) = <t^5, t^9, t^10>
r'(t) = <5t^4, 9t^8, 10t^9>
r''(t) = <20t^3, 72t^7, 90t^8>
kappa(t) = |r'(t) x r''(t)|/|r'(t)|^3
kappa(t) = sqrt((90t^16)^2+(250t^12)^2+(180t^11)^2)/(sqrt((5t^4)^2+(9t^8)^2+(10t^9)^2))^3

Attendance Question 2:

Who is your favorite rock band?

Answer: The Beatles