722=,dd +(I)   1Courier New1Symbol New1Courier New1Courier NewTimes New RomanTimes New Roman1Courier New1Courier New1Courier New1Courier NewX*VX*VX*VX*V?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{ d<  p {2 1m?lt?aw@\7@Ʃv@A;.b @]ѭо@??? vG}a*p^@hfffffhfffffGzhfffff@hfffff@WK@033333??@^ߛOw?HzG???tXIc@L2V5@@?@ @@@O?wC~UwC~?@?@?@@@>$Q@@dddddddddddddddddddddddddddddddddddddddd -2??@22$@@@@@e,?e,? ٹe,?@e,?@0X#ܬ@ K!!i d!!u!,"UP,h`h>f2f=6f(x,y) z = f(x,y)O0O52??@$$$ T?#d????QQ?4bZ@?QQ?4bZ@????QQ?4bZ@"W!PZ!"`[##"PeCehgabf(a,b)(x,y,z) = (a,b,f(a,b))42??@$$$??C a?M?XoJ@A ?^A?ڒd@???LM_? P##$e#g###T# g\!abf(a,b) a-fx(a,b)3seg (a,b,f(a,b)) to (a-fx(a,b),b-fy(a,b),f(a,b)+1) b-fy(a,b) f(a,b)+142???$$$??{W1?C%V?K]l?nζ?????LM_?\"$%aP$Dm#o#,Z$\$:2䷯C2ab0 a+fx(a,b)'seg (a,b,0) to (a+fx(a,b),b+fy(a,b),0) b+fy(a,b)0-2??h!h!@$$$@@DCz@@@\ n@e,?e,?0fC0-e,?@e,?@0{:s3@"\"x$$x#b$d$lگ̾!f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b)%z = f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b)xyz?QQ???D2oc?JHbW@@@@@@@@@@@@@@@@@@@@@@@@@@@@   SQRT(16-X^2-Y^2)@@@@@@@@@@@@@@@@@@@@@@@@F@{(-X)/SQRT(16-X^2-Y^2)@@@@@@@@@@@@@@˖@@@@@@@@@FX@|(-Y)/SQRT(16-X^2-Y^2)@@@@@@@@@@@@@@@@@@@@@@@FY@The Red Vector is the 2D Gradient$ȼ0ty@ CldC)67Times New Roman`EThe Purple Vector is the 3D GradientXiSא@`*'`Times New Romanp/2f(x,y) = sqrt(16-x^2-y^2) Gradient  R Vİ@"Yf@MaI@Times New Romanz = f(x,y),*# ,j&@g;@1Courier New 02(x,y,z) = (a,b,f(a,b)) 3d"r5?ؘYCe̓h58@1Courier New 12seg (a,b,f(a,b)) to (a-fx(a,b),b-fy(a,b),f(a,b)+1)!< ᝿Sx?,`F?x@1Courier New P22seg (a,b,0) to (a+fx(a,b),b+fy(a,b),0)!< ᝿H]W@ Tixo&д@1Courier New 32z = f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b)0jP!< ᝿+@  TBH@1Courier New @@@h!@