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Unformatted text preview: Math 1110 Prelim 2 October 30, 2008 Name: Instructor: Section: INSTRUCTIONS — READ THIS NOW • This test has 6 problems on 12 pages worth a total of 100 points. Look over your test package right now . If you find any missing pages or problems please ask a proctor for another test booklet. • Write your name, your instructor’s name, and your section number right now . • SHOW YOUR WORK. To receive full credit, your an- swers must be neatly written and logically organized. If you need more space, write on the back side of the preced- ing sheet, but be sure to label your work clearly. YOU DO NOT NEED TO SIMPLIFY YOUR ANSWERS UNLESS EXPLICITLY INSTRUCTED TO DO SO. • You have 1 1 2 hours to complete this exam. • This is a closed book exam. You are NOT allowed to use a calculator. You may bring a single 3 × 5 inch index card of notes. All other aids are prohibited. • Academic integrity is expected of all students of Cornell University at all times, whether in the presence or absence of members of the faculty. Understanding this, I declare I shall not give, use, or receive unauthorized aid in this examination. Signature of Student OFFICIAL USE ONLY 1. /16 2. /16 3. /18 4. /18 5. /18 6. /14 Total: /100 Math 1110 (Fall 2008) Prelim 2 (10/30/2008) 2 Question 1. (16 points) Compute dy dx : (a) y = ln(cos( x )) y = 1 cos( x ) cos ( x ) =- sin( x ) cos( x ) =- tan( x ) (b) y = x sin( x ) for x > ln( y ) = sin( x ) ln( x ), (ln( y )) = sin( x ) 1 x + cos( x ) ln( x ), y y = sin( x ) x + cos( x ) ln( x ), y = x sin( x ) sin( x ) x + cos( x ) ln( x ) ....
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This note was uploaded on 03/24/2009 for the course BIO BIO taught by Professor Labta during the Spring '09 term at Cornell.
- Spring '09