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Unformatted text preview: Math 21A (2006 Summer Session I)
Quiz 2 K E Y
Please PRINT your name here : _________________________________________________________ __
Your Four-Digit Exam ID Number __________ __ 1. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY
WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS QUIZ. IT IS
A VIOLATION OF THE UNIVERSITY HONOR CODE TO COPY ANSWERS FROM
ANOTHER STUDENT’S EXAM. PLEASE KEEP YOUR OWN WORK COVERED UP
AS MUCH AS POSSIBLE DURING THE QUIZ SO THAT OTHERS WILL NOT BE
TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION. VIOLA-
TIONS CAN RESULT IN EXPULSION FROM THE UNIVERSITY. 2. No notes, books, or classmates may be used as resources for this exam. YOU MAY
USE A CALCULATOR ON THIS EXAM. 3. Read directions to each problem carefully. Show all work for full credit. In most
cases, a correct answer with no supporting work will receive little or no credit. What you
write down and how you write it are the most important means of your getting a good
score on this quiz. Neatness and organization are also important. . Make sure that you have 3 pages, including the cover page.
You may NOT use L’Hopital’s Rule on this exam.
You may NOT use any shortcuts for ﬁnding limits to inﬁnity. Using only a calculator to determine limits will receive little or no credit. 00>]?er . You will be graded on proper use of limit notation. $2 — 7x + 6 .f
1.) (12 pts.) Let f(a;) = x __ 6 ’ 1 “7 75 6 . Show that f is NOT continuous at
4, if a: = 6. 33:6. ~QO'o/z q
(1.)/QM ><’;'7><+(o : M (xfézzCKv/X X—aé K’Cs Xaé X//G
: (X'/) 15’
LLL/ (3M W4tx/25’fq: ~P(é/
4’4 2.) (13 pts.) USE LIMITS to determine all vertical and horizontal asymptotes for _3:I:—2
—x—1' J, R
v l '
X—aioo X I —’ X—aiao 1., 1/ 3.) (15 pts.) Use the Intermediate Value Theorem (IMVT) to prove that the following equation is solvable : 11:3 = 3x + 5 40 M
W» M w ,- 4 a W m M Q/ 05C<3
MW ~¥C<L]:;W\/ c.e./ ...
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- Fall '07