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Math 10C (Klep)
Midterm
Exam 2
February 27, 2008
Turn off and put away your cell phone.
You may use one page of notes, but no calculators, books or other assistance.
Read each question carefully, and answer each question completely.
Show all of your work; no credit wiII be given for unsupported answers.
Write your solutions clearly and legibly; no credit will be given for illegible so.lutions.
If any question is not clear, ask for clarification.
4
TT
Points
Score
1
10
t
8
3
12
4
t
40
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(&x *
(3"'r;a
:
.t<
A
(?
*:
1. Let
f
,(4,,ut'
#q's)
o
(u)
f @,il

cos(2r
a)
.
a3+l
(6 pts) Find the equation of the tangent plane
to the graph of the function
(r,a)
at the point (1,0,0).
=
Zs;^(?x1)
u"tL
*,*L32
4
s*m

I
t,
l*o
ge
p
VC?4
Y*\
+ l
(X'0)
+
ei
z
nl*(
x,
r ga)
(x'
x*)
"/r(
xo
*
"1"
)
(3
)")
+ Lo
/.'
"*2(K'
'le)
7
(b) (4 pts) Use
this equation
to estimate
/(1,
0.1).
Z
7 71.
.k>*t(O")

,l
}, * O.t
Let d
:
2i

f, and
,ri
: (8, 2,
2).
(u) (5 pts) Find a vector orthogonal to both d and fi.
f "d
?iurs
G \rdet6'c or{t.g,"*o\
f
'''l
fr
d
Jl
l;
r'
Yl
=
(R,TE,1)
;
(?''1''t)
It
I'Al
2.
(b) (3 pts) What are two unit vectors orthogonal to both u and
T/
?
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This note was uploaded on 08/25/2008 for the course MATH 10C taught by Professor Hohnhold during the Spring '07 term at UCSD.
 Spring '07
 Hohnhold
 Math

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