f_spring10 - Final Exam Math 2930 show work 13 questions on...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Final Exam Math 2930 Spring 2010 show work, 13 questions on 7 pages, no calculators some answers will fit into a box; box your answers wherever possible 1) (4 points) Write your name and section number at the top of this page. 2) (6 points) Consider the period 2 π function f given by f ( x ) = e bx when - π x < π . Here b is a positive constant. Sketch the graph of f for 3 full periods. To what does the Fourier series of f converge, at the points x = π and at x = 0? Find (only) the constant a 0 2 term of the series. 3) (10 points) Newton wants to build a house in an environment where the temperature goes through one cycle each year, and he thinks the inside temperature T ( t ) of the house will vary according to T = - 1 10 ( T - 20 cos( at ) ) . But he doesn’t know what to use for a . If t is in days, figure out a reasonable choice for the value of a . Then solve Newton’s equation. T ( t ) = a = 1
Image of page 1

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

View Full Document Right Arrow Icon
4) (10 points) Solve for y ( x ) 0 = ky ( x ) + C with boundary conditions y (0) = 0, y ( L ) = 0. Here k , C and L are given, unspecified positive constants.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the 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