f_spring10

f_spring10 - Final Exam Math 2930 Spring 2010 show work 13...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 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 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- 20cos( 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 4) (10 points) Solve for y ( x ) 0 = ky 00 ( x ) + C with boundary conditions y (0) = 0, y ( L ) = 0. Here k , C and L are given, unspecified positive constants....
View Full Document

This note was uploaded on 01/21/2011 for the course MATH 2930 taught by Professor Terrell,r during the Spring '07 term at Cornell.

Page1 / 8

f_spring10 - Final Exam Math 2930 Spring 2010 show work 13...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online