Calc I- Exam 2

Calc I- Exam 2 - DEPARTMENT OF MATHEMATICS UNITED STATES...

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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 ' 09-Oct-07 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] n-Jfi if: c] v=x1msx d] 3: = sinEcus x] c] y=[x1—?x+2}5 f] 3r = animal] / _ 2. 0n the interval [IL-It] 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 manger-l Hue to the runway = x1 — 3:: at the paint [2. -2]. (10 points] In] Find the equation n-fa tangent line In the curve 1; = E with slap-c -] {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 Ital-1m {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 ballot-n 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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Calc I- Exam 2 - DEPARTMENT OF MATHEMATICS UNITED STATES...

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