#ATTENDANCE QUIZ for Lecture 13 of Math251(Dr. Z.)
#EMAIL  RIGHT AFTER YOU WATCHED THE VIDEO
#BUT NO LATER THAN  Oct. 19, 2020, 8:00PM (Rutgers time)
#THIS .txt FILE (EDITED WITH YOUR ANSWERS)
#TO:
#DrZcalc3@gmail.com
#Subject: aq12
#with an ATTACHMENT CALLED:
#aq12FirstLast.txt
#(e.g. aq12DoronZeilberger.txt)




#LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS

Question 1. Find Int(Int(x^a[1]+y^a[2])) over the following region 
{ (x,y) | 0<=x<=a[3], 0<=y<=x }

Answer to Question 1. 
With my RUID the expression would be Int(Int(x+y^9)) over { (x,y) | 0<=x<=6, 0<=y<=x }
First integral = 18+6*y^9
Second integral = 18x+ (3/5)x^10

Question 2. Change the order of integration integration in 

Int(Int (f(x,y)), x= sqrt(y) .. 5) , y=9..25)
Where f(x,y) = x^3 + y^3 +x*y

Answer to Question 2.
(625/4)+y^3*5+(25*y)/2 - y^2/4=y^7/2 +y^2/2

Question 3. Do the second problem from a previous final in handout 15.2
-3 - 6/[(y/4)*((y/4)^2+1)^2]=7