2011c_x3b_sols

# 2011c_x3b_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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Unformatted text preview: MATH 151 , FALL SEMESTER 2011 COMMON EXAMINATION 3- VERSION B- SOLUTIONS Name (print): Instructors name: Signature: Section No: Part 1 Multiple Choice ( 13 questions , 4 points each , No Calculators ) Write your name, section number, and version letter ( B ) of the exam on the ScanTron form. Mark your responses on the ScanTron form and on the exam itself 1 . The electric field between parallel plates produces the acceleration a & t & 5cos & t cm/sec 2 on a charged particle, where t is in seconds. If the particle has initial position x & & 3 cm and initial velocity v & & 2 cm/sec, where is the particle at time t & & sec? a . x & & & & 2 & 3 cm b . x & & & 2 & 3 cm c . x & & & 2 & 13 cm Correct Choice d . x & & & 2 & 8 cm e . x & & & & 2 & & 8 cm SOLUTION: v & t & 5sin & t C v & & C & 2 v & t & 5sin & t 2 x & t & & 5cos & t 2 t K x & & & 5 K & 3 K & 8 x & t & & 5cos & t 2 t 8 x & & & & 5cos & & 2 & 8 & 2 & 13 2 . Find all solutions of ln & x ln & x 2 & ln & 15 . a . x & & 5,3 only b . x & & 5,0 only c . x & 3 only Correct Choice d . x & & 5 only e . x & 0,3 only SOLUTION: ln & x & x 2 & ln & 15 x 2 2 x & 15 & & x 5 & x & 3 & x & & 5 : ln & & 5 is not defined, so not a solution. x & 3 : ln & 3 ln & 3 2 & ln & 15 3 . Compute arcsin cos 5 & 4 . a . & 1 4 & Correct Choice b . 1 4 & c . 3 4 & d . & 5 4 & e . 5 4 & SOLUTION: cos 5 & 4 & & 1 2 because 5 & 4 is in quadrant III. arcsin cos 5 & 4 & arcsin & 1 2 & & arcsin 1 2 & & 1 4 & . 1 4 . Compute lim x & & ln & 4 2 x ln & 5 3 x a . b . ln 4 5 c . ln 2 3 Correct Choice d . ln4 ln5 e . ln2 ln3 SOLUTION: lim x & & & ln & 4 2 x ln & 5 3 x lim x & & ln 4 2 x 5 3 x ln lim x & & 4 2 x 5 3 x ln 2 3 5 . A shrimp farm starts off with 500 shrimp. The number of shrimp quadruples after 8 weeks (to 2000 shrimp). Assuming an exponential growth, how many shrimp are there after 12 weeks? a . 3000 b . 4000 Correct Choice c . 500 e 6 d . 500 e 1/6 e . 500 e & ln4 2/3 SOLUTION: P P & 4 t / & P 500 & 4 12/8 500 & 4 3/2 500 & 2 3 4000 6 . If f & x ln & 1 x 2 1/2 arctan & x , then f & x a ....
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## This note was uploaded on 02/13/2012 for the course MATH 151 taught by Professor Artbelmonte during the Fall '06 term at Texas A&M.

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2011c_x3b_sols - MATH 151 , FALL SEMESTER 2011 COMMON...

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