#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 QUIZ QUESTION 1: 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^(2*a)> at the point (2^a,2^b,4^a).

#ATTENDANCE QUIZ ANSWER 1: (70*sqrt(5))/(69*sqrt(69))

#Step 1: RUID = 194003227  a = 2   b = 7

#Step 2: r(t) = <t^2,t^7,t^4> at point (4,128,16>

#Step 3: t^2=4, t^7=128, t^4 = 16  t=2

#Step 4: r'(t) = <2t,7t^6,4t>   r''(t) = <2,42t^5,4>        r'(1) = <2,7,4>    r"(1) = <2,42,4>

#Step 5: r'(1) x r"(1) = <-140,0,70>    Magnitude = 70*sqrt(5)

#Step 6: |r'(1)|^3 = 69*sqrt(69)

#ATTENDANCE QUIZ QUESTION 2: Who is your favorite rock band?

#ATTENDANCE QUIZ ANSWER 2: Breaking Benjamin