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Unformatted text preview: DEPARTMENT OF MATHEMATICS UNITED STATES COAST GUARD ACADEMY
Calculus I (3111) EXAM 2
LI,” I 5 F\ Tuesday Name: if; ‘1 L1»; w. .é '~ ~ I '
09Oct07 Instructor: ’17:? 3'; «2 :4 i " \ Period:
INSTRUCTIONS:
1. Work alone. Show ALL your work. Answers without supporting work will get no credit. Erase or cross out any work NOT to be graded. Circle or box your ﬁnal answer. WRITE LEGIBLY AND USE GRAMMATICALLY
CORRECT SENTENCES. 2. Work in pencil only.
3. Books, notes and calculators are not permitted.
4. Including this cover the examination consists of 6 consecutively numbered pages. Check your examination for completeness before beginning work, and report any discrepancies to an instructor. 5. Problem weights are provided at the right hand next to each problem.
6. DO NOT LEAVE THE EXAMINATION AREA WITHOUT THE PERMISSION OF AN INSTRUCTOR.
7. Good luck! 3— . _
. ff Find the deﬁvntlve [by any ITLEH'LDd} of 23:11 ofthe fa'llmving Functions: [4 palnls each] {3} Fit" 1" z .2 I b] nJﬁ if:
c] v=x1msx d] 3: = sinEcus x] c] y=[x1—?x+2}5 f] 3r = animal] / _ 2. 0n the interval [ILIt] locate the points [If any] where the Funnien [10]
Ex] 2 {1:— ljfz—z] fails to be continuous and explain why. 3. (Earn:I out the limit calculatinn to ﬁnd the derivative nf ﬁx] = 131 [10} 4. 3} Find the equation ufthe mangerl Hue to the runway = x1 — 3:: at the paint [2. 2]. (10 points] In] Find the equation nfa tangent line In the curve 1; = E with slapc ] {ID minis} . _ 5. a] the the quotient rule to ﬁnd the derivative of the funnier: _v 2 carat] [a points] h] Find theseevnd derivative nfﬂie Iimerion v Ital1m {a points] 6. An aircraltis climbing at an angle of 3D degreeste the horizontal. Hewi'est is It [1D paints}
gainingamde iflts air speed is 500 milﬂfhaur? I". Air is pumped into a spherical ballotn at: rate of 2 cubic feet per minute. When the radius ef the bellman I5 2 fem. huwfestis the radius increasing? [The the fonnula 1! =§ﬂr3]. ...
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This note was uploaded on 08/20/2009 for the course MATH 212 taught by Professor Lu during the Spring '09 term at Adams State University.
 Spring '09
 LU

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