Multivariable Calculus - Solved Assignment | MATH 2224, Assignments of Calculus

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Math 2224 Fall 2008 Home Work Quiz2 Name (printed) if Class Timelor « _— I pledge that this is all my own work. I have not copied another person’s work and [Minderstand what I have written below. I understand I am allowed to use my notes and text. Signature Remember to show all work and use correct notation, 1.(see12.2)Find this limit using paths. ta, [ a —DBNE ahy=o Rea) = oO salt Gg eo yo | £0 Anh Ut yeo— Voy 0) = Fel —s bho \=\ 2.(sec12.2)Show all first and second partials for : f(xy) =3x"p—4p42x410 +y =Gxys > eh \y~ 3x? ef Sy 2 GY, a Lag = oO Lay = (9K Q KY = G 4 3.(12.4)Using the appropriate chain rule, find = where z=? +y? and x=e" , y=sin(wv) and v=1 _ neti) et and u= 0, ceaegye0 (Sys By Kear + ByAu YF fo ax ey + au Cosav\v NV, =20) 2a) + .A(o) Cosoc') =at+Oor OW 4.(seel2.5)Find the directional derivative of f(x,y”) =2xy~3y* ut P, (2,3) in the direction 4i+3j. ) N - ot. (ee \ VEZ usw -eus7= (£3 (he 28 @.) ie ore 437 FuSNe 7a loys? Q,. avatar Be itt