#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: RUID = 191003667; a = 6; b = 7
#r(t) = <t^6,t^7,t^12> at the point <2^6,2^7,4^6> so t = 2
#R'(t) = <6t^5,7t^6,12t^11> -> R'(2) = <192,448,24576>
#R''(t) = <30t^4, 42t^5, 132t^10> -> R''(2) = <480,1344,135168>
#R'(t) X R''(t) = <27525120, -14155776, 43008>
#|r'(2)Xr''(2)| = 30951899.374
#|r'(2)| = 24580.8328^3 = 1.4852x10^13
#r'(2)Xr''(2)|/|r'(2)|^3 = .00000208 units
#
#Attendance Question 2:
#Who Is Your Favorite Rock Band?
#
#Answer:
#The Beatles