#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: aq4
#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^(2*a)> at the point <2^a, 2^b, 4^a>

#ANSWER FOR QUESTION 1

a=0, b=6, r(t)=<1, t^6, 1>, point <1, 64, 1>
r'(t)=<0, 6t^5, 0>
r"(t)=<0, 30t^4, 0>
||r'(t)||= sqrt((6t^5)^2)=6t^4|t|
r'(t)*r"(t)=<0, 0, 0>
||r'(t)*r"(t)||=0
k(t)=0


#ATTEDANCE QUESTION 2

#WHO IS YOUR FAVORITE ROCK BAND?

#ANSWER FOR QUESTION 2

I don't have a favorite rock band.