#ATTENDANCE QUIZ for Dec. 10, SCCII session for Math251(Dr. Z.)
#EMAIL  RIGHT AFTER YOU ATTENDED OR WATCHED THE VIDEO
#BUT NO LATER THAN  Dec. 11, 2020, 8:00PM (Rutgers time)
#THIS .txt FILE (EDITED WITH YOUR ANSWERS)
#TO:
#DrZcalc3@gmail.com
#Subject: sccIIdec10
#with an ATTACHMENT CALLED:
#sccIIdec10FirstLast.txt
#(e.g. sccIIdec10DoronZeilberger.txt)




#LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS

1. Compute the line integral where f =x^2+y^2 and C is upper bound with base x^2+y^2=1, y > 0 with clockwise orientation

<2x,2y>

r(0) =<0,0> <0,4pi>

AnsweR: <0,8pi>

2. Compute the vector field surface integral if F= <x^2, y^2, x+z> and S is the surface z=16-^2-y^2 x>=0, y<0, z>0

<2x,2y,0>

<2pi, 4pi,0>

<0,0,0>

Answer: <2pi, 4pi,0>

3. Find the largest value that x1^2*x2*x3*x4

In the plane x1 + 2x2 + 3x3 + 4x4 = 24

Grad = <2x1x2x3x4,x1^2x3x4, x1^2x3x4,x1^2x2x3>

L<x1,x2,x3,x4>


L=2x2x3x4

l=2x1x2x3x4

L =x1^2x3x4

L = x1^2x3x4

L= x1^2x2x3

4l = 24

L = 6

36(6)(6)(6)

Anaswer: 7776