222-robbin-07spfin - Name Math 222 Final Exam Thursday...

Info icon This preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 10
Image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name ____________ Math 222, Final Exam, Thursday May 17, 2007 Circle your section: 323 324 326 327 328 329 330 331 1.13 INGRAHAM B329 VAN VLECK B135 VAN VLECK 119 VAN VLECK B337 VAN VLECK B305 VAN VLECK 8329 VAN VLECK B333 VAN VLECK TR 08:50—09:40 TR 09:55—10:45 TR 11:00-11:50 TR 11:00—11:50 TR 12:05—12:55 TR 13:20—14:10 TR 14:25—15:15 TR-15230—16220 Georgiou, Nicos Georgiou, Nicos Ache, Antonio Beros, Achilles Ache, Antonio Beros, Constantinos Beros, Constantinos Beros, Achilles w l l 30 Points ll 30 Points i fl J. 111 30 Points IV 30 Points ' ~ 7— + 7+ *r V 30 Points VI 30 Points VII 30 Points Vlll 30 Points l— 1 l— ———+ l————— lIX 30 Points 30 Points ‘7 T :F 5—: a“ Total 300 Points L i SHOW YOUR REASONING. 4 if03$<1, 1 2 I. 30 oints. Find / cc dx wh = :c ( p > 0 fl ) ere f($) {:55 if 1 g x g 2. 7 1 d3: 1 \/4-—$2. II. (30 points.) Find/ CESCILI? 5232—1. III. (30 points.) Find/ IV. (30 points.) Find y if _'y — y = 27 y(0) = 1 and y’(0) = 3. V. (30 points.) Rabbits in Madison have a birth rate of 5% per year and a death rate (from old age) of 2% per year. Each year 700 rabbits move in from Sun Prairie. (i) Write a differential equation which describes Madison’s rabbit population P at time t. (ii) If there were 12,000 rabbits in Madison in 2001, how many are there in 2007? d2 ‘ IV. (30 points.) Find y if d—tg: — y = 2, y(0) = 1 and y’(0) = 3. VII. (30 points.) Given the vectors 2 ii = 1 and 3 find it, y, for which ‘ a = :7: + :7) with :7: parallel to 3 and fl perpendicular to (3. 0‘1 H l—-‘ VIII. (30 points.) Consider the following parametrized curxre: 1 (fl/3 _ _9_t5/3 55(t)=( 7520 > o'gtgi. Find all points with horizontal or vertical tangents. Then find the length of the piece of this curve corresponding to the indicated parameter interval. IX. (30 points.) Find the curvature FL of the ellipse {ti = 4COSt; + 3sint3 at the points 14(470) and B(0, 4). X. (30 points.) A curve has polar equation 6 T: 3+0056‘ Express its position vector :73 = mil—5623 as a vector valued function of 6 and sketch the curve in the.(m1,3:2) plane. Indicate on your graph Where the curve is farthest from the origin and Where it is closest. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern