Mathematics 115
y
Find a unit vector for which Du f
.
(2, 3) = 0 for the function f (x, y) =
x+y
#26
r
f f
f =
,
x y
r
f
Anton, page 968-970
Asst #15 Solutions
(2, 3)
=
=
( 0)( x + y) ( y)(1) , (1)(
Mathematics llSOl Show Work W. Zwicker. Instructor
June 7, 2m 3 Quiz #5 Name:
l) 9For any augmented matrices egg in reduced row echelon form, just say so. [15]
9For any that Ls_ in reduced row echel
Mmhemoiics I 15,01 Quiz #3 W. Zwicker, Instructor
MW 6. 2013 Nome: _;C§lu; {Egg/7y 9 v,
SHQW WORK
' Give the inmmggyg formulas (in terms of curvature. speed, etc.) for:
1 [4}
d S
A w _ (1 ,
llv "0.:
_ ._._-.mg\rnavmwj\;'iif
Mathematics 115-0] w. Mute, ,N, .+
April 17. 2013 Quiz #2 Name: C 5 a
L'k'7i 1'
Show Work!
1) State the algebraic characterization of coplanar): ! = pumhi
Z rec-rs 4r: 0"!de
- than. specifying inconsistent or unique solution" or innitely many
I' max a nonzero in the nal column,
: 7- solutions:
ls called leading, and
- ligand solve for the
(sit,r,.).
m1 gxpression built
\ m A ={-1,-5.13)ond B =(2.o.-1), ondC =(I. -1, 2).
0. PM A x B ("algebraic method)
. or _
a: '§ I1 I '1 «(v "(I
{fl F i U or I ~f 1- 0
" F( ("s ' , "[ n
1 r g, o _-. _ |f L 0
k o -1 I 3 J [I It]