#ATTENDANCE QUIZ for Lecture 17 of Math251(Dr. Z.)
#EMAIL  RIGHT AFTER YOU WATCHED THE VIDEO
#BUT NO LATER THAN  Nov. 5, 2020, 8:00PM (Rutgers time)
#THIS .txt FILE (EDITED WITH YOUR ANSWERS)
#TO:
#DrZcalc3@gmail.com
#Subject: aq17
#with an ATTACHMENT CALLED:
#aq17FirstLast.txt
#(e.g. aq17DoronZeilberger.txt)




#LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS

Question 1. Go to wikipedia and see an example of a picture of a vector field 
Answer to Question 1. 
I went to wikipedia and saw a picture of a vector field

Question 2. 
Let f=a[1]*x^2 + a[3]*x*y + a[5]*y^2 + a[7]y*z + a[9]*z^2
a[I]=0 then make it 1 
i) Compute F=grad(f)
ii) Compute the curl of F
Answer to Question 2. 
f= x^2 + 6*x*y +y^2 + 7*y*z + 2*z^2
i) <2(x+3y),x+2y+7z,7y+4z>
ii) <0,0,-5>

Question 3. Let f=x*y^2*z^3
i) Find F=grad(f)
ii) Check that the curl F=ZeroVector
Answer to Question 3. 
i) <y^2z^3,2xyz^3,3xy^2z^2>
ii) yes