#2. (15 points) Find the point on the surface 2x- y+ z =
point (4,-1,3).
1 that is closest to the
t I
['7 J; j a 2' fr 1
r,- y t § 0 ' r
if 7 i I
/ I \
I 1 1 "f {L
. r f I IXJ t w/ I" (Z
a v I . " , - -_
L i 7 x 7 / 1
,v r " y-
. ,1 t
d 1, V 1 ,"i
., L;
'h 2031) n
_ xnln 4}; 1
ame.
K)
x f F
-~_.w*
. 2. Find the limit,
x/
/ Iim 2x29
k 1"
Q
(x,y)-,(oo) $4 + 2/2 V
0/ A 3. Determine the set of points at which the function is continuous. \4 pts\
$23
12! _ % if($ay)%(0,0)
f(x,?/)-{ 2 fry if($,y)=(0,0)
E ' 00
(a) (5 points) f (x) = 1
:1 Hi 3 . 1 oo
: "Ll ~ 1 ( 11;) Use the senes 1 2 Z tn for m < 1).
' \ _: 4 .
/ X H x 5 (>5) :
770
(b) (5 points) f(:z:) = (Hint as in (8.)
If)" I
.1317 ()1; 1 Z w DD A
k H % ~ (x) 2. H)
0:0 XL
(c) (5 points) Represent the fu