#Sai Embar
  
#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 := 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>


A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:

#Step 1: RUID = 193003278  a = 2   b = 8

#Step 2: r(t) = <t^2,t^8,t^4> at point <4,256,16>

#Step 3: t^2=4, t^8=256, t^4 = 16  t=2

#Step 4: r'(t) = <2t,8t^7,4t>   r''(t) = <2,56t^6,4>        r'(1) = <2,8,4>    r"(1) = <2,56,4>

#Step 5: r'(1) x r"(1) = <-192,0,96>    Magnitude = 96*sqrt(6)

#Step 6: |r'(1)|^3 = 84*sqrt(84)


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


A2: MY ANSWER TO THE SECOND ATTENDANCE QUESTION IS: AC/DC