#ATTENDANCE QUIZ for Lecture 7 of Math251(Dr. Z.) #EMAIL RIGHT AFTER YOU WATCHED THE VIDEO #BUT NO LATER THAN Sept. 28, 2020, 8:00PM (Rutgers time) #THIS .txt FILE (EDITED WITH YOUR ANSWERS) #TO: #DrZcalc3@gmail.com #Subject: aq7 #with an ATTACHMENT CALLED: #aq7FirstLast.txt #(e.g. aq7DoronZeilberger.txt) #LIST ALL THE ATTENDANCE QUESTIONS FOLLOWED BY THEIR ANSWERS A.Q. #1 let a = 5th digit of RUID, b = 2nd digit a = 0 b = 0 let f(x,y) = x^a + b*x^(2*a)*y^3 Find the two Partial Deriv of f(x,y) a = 0 , b = 0 f(x,y) = 1 df/dx = 0; df/dy = 0; A.Q. #2 W/ a and b as above, a = 0, b = 0 find (dz/dx) and (dz/dy) x^a * z^b * *y^2 + x^2*y^(3*b)*z^3 = exp(x*y*z) => y^2 + x^2*z^3 = exp(x*y*z) (dz/dx) = (2xz - exp(xyz)*yz)/(exp(xyz)*(xy) - 3(x^2)(z^2)) (dz/dy) = (2y - exp(xyz)*xz)/(exp(xyz)*xy - (3(x^2)(z^2))) A.Q. #3 Do the second part, find f_y(1,1) f_y(1,1) = 1/3 A.Q. #4 Is it the same as prev. parts? (NO) Could you have predicted this outcome? (ALSO NO)