This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Prelim 2 Math 2930 Spring 2009 show work, 6 problems, no calculators 1a) (4 points) Write your name and section number at the top of this page. 1b) (16 points) Solve x + x + 3 x 5 x = 29 e t + 30. You are told that one solution of the homogeneous equation is x 1 ( t ) = e t . 1 2) Consider the equation y + 81 y = 10 cos(11 t ). a) (8 points) Find a number a so that one solution is a (cos(11 t ) + cos(9 t )). b) (8 points) Find numbers b and c to express cos(11 t ) + cos(9 t ) in the form of an AM signal cos(11 t ) + cos(9 t ) = b cos( ct ) cos(10 t ) and sketch a graph of it to illustrate the term Amplitude Modulation. 2 3) A mechanical system with a lot of friction can sometimes be modeled as though it has a shock absorber but no spring. Suppose a box having mass m slides across the rough floor of a moving truck according to my + cy = f ( t ) Here y ( t ) represents the distance of the box from the side of the truck, and the applied force f ( t ) is due to the sideways lurching. Of course) is due to the sideways lurching....
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 University (Engineering School).
 Spring '07
 TERRELL,R
 Math

Click to edit the document details