#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



Let a:= 7th digit of RUID , b:= 9th Digit
a=3 b =4
Find curvature of curve 

r(t) = <t^a, t^b, t^2a> @ (2^a, 2^b, 4^a); t = 2
r'(t) = <3t^2, 4t^3, 6t^5> r"(t) = <6t, 12t^2, 30t ^4>
|r'(t)xr"(t)| = \sqrt((192t^7)^2 + (126t^6)^2 + (60t^4)^2) => @ t=2 |r'(2)xr"(2)| = 2.58E4
|r"(t)|^3 = (\sqrt(9t^4 + 16t^6 + 36t^10))^3 = (195)^3

k = (2.58E4)/(195)^3 = 3.48E-3

WHO IS YOUR FAVORITE ROCK BAND?

Kansas