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Math 20C  Fall 2011  Midterm I
Name:
Student ID:
Section time:
Instructions:
Please print your name, student ID and section time.
During the test, you may not use books, calculators or telephones. You may use a ”cheat sheet”
of notes which should be at most half a page, front and back.
Read each question carefully, and show all your work. Answers with no explanation will receive
no credit, even if they are correct.
There are 6 questions which are worth 50 points. You have 50 minutes to complete the test.
Question
Score
Maximum
1
8
2
8
3
6
4
5
5
15
6
8
Total
50
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View Full Document Problem 1.
[
8 points; 5, 3
]
Consider the points
P
(1
,
1
,

2),
Q
(2
,
0
,
1) and
R
(1
,

1
,
0).
(i) Find the area of the triangle
PQR
.
(ii) Find the equation of the plane through
P
,
Q
and
R
.
[
8 points; 4, 4.
]
(i) Find the constant
a
such that the function
f
(
x,y,z
) =
(
x
4
y
x
2
+
y
2
+
z
2
if (
x,y,z
)
6
= (0
,
0
,
0)
a
if (
x,y,z
) = (0
,
0
,
0)
is continuous.
(ii) Determine the following limit or explain why it does not exist
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This note was uploaded on 11/16/2011 for the course MATH 20 C taught by Professor Ronevans during the Spring '08 term at UCSD.
 Spring '08
 RONEVANS
 Math

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