EA4 Workshop questions set 1 - week of 9/29/08 1. Consider the equation dy = y n , y(0) = 1, dt where n is a positive integer. (a) Find the solution for all values of n 1. (b) Show that for n 2 the solution blows up at a finite time. (c) Show that the blo

EA-1 Lab Project: Part 1
This Lab Project serves as an introduction to Image Processing problems and describes how
Linear Algebra concepts can be employed for their solution. This is the rst of two parts of the
Lab Project. All material from the two parts

Engineering Analysis I, Fall 2014
Midterm 2
SOLUTIONS
Section number
Section number Lecture time
20
8:00 a.m.
21
10:00 a.m.
22
11:00 a.m.
23
12:00 noon
Answer the questions in the spaces provided on the question sheets. There are 5 problems worth 100 poin

Practice Final Exam
Engineering Analysis 1
Name
Solution
Section
Clearly circle or box your solutions.
You may leave answers as fractions, where appropriate.
1
1. (16 points total)
(a) The questions below are independent of each other and use the followin

GEN_EN G 206-2 - ENGINEERING ANALYSIS 2
HONORS SECTION
WINTER QUARTER 2013
FEBRUARY 28, 2013
7’ MIDTERMEXAM#2' 7 7
NAME: O LUTK OMS.
Instructions:
Open this booklet only when instructed to do so. There are three questions on the exam. Make sure to g

EA 4 Workshop questions - week of 11/17/08 1. Consider the system x y = x2 + y 2 , = x2 + y 2 . (1) (2) (a) Determine all critical points for system (1). Answer - the only critical point is x = 0 and y = 0. (b) How does this critical point differ from tho

EA 4 Workshop questions - week of 11/17/08 1. Consider the system x y = x2 + y 2 , = x2 + y 2 . (1) (2) (a) Determine all critical points for system (1). (b) How does this critical point differ from those discussed in class? (c) Determine an equation for

EA4 Workshop questions with answers - set 1 - week of 9/29/08 1. Consider the equation where n is a positive integer. (a) Find the solution for all values of n 1. Explain why you have to use a different procedure for n = 1 than for n > 1. Answer - the equ

EA4 Workshop questions set 2 - week of 10/06/08 1. Consider the equation y = y(A - y 2 ) where A is a parameter. (a) For every value of A find all critical points of (1). (b) For all values of A determine whether the critical point is stable or unstable.

EA 4 Workshop questions - week of 10/19/08 1. Consider a linear second order equation with constant coefficients, ay + by + cy = 0. (1)
Suppose someone tells you that they believe that y = x2 is a solution to this equation. Explain why he must be wrong. 2

Engineering Analysis 4 Workshop questions - week of 10/19/08 1. Consider a linear second order equation with constant coefficients, ay + by + cy = 0. (1)
Suppose someone tells you that they believe that y = x2 is a solution to this equation. Explain why h

Engineering Analysis 4 Workshop questions - week of 10/26/08 1. Consider the forced oscillator x + x = cos 2t. (a) Find the general solution. (b) Suppose you are interested in the initial conditions x(0) = 1, x (0) = 0. Explain the fallacy in the followin

Engineering Analysis 4 Workshop questions - week of 10/26/08 1. Consider the forced oscillator x + x = cos 2t. (1)
(a) Find the general solution. Answer - this is a straightforward review of undamped oscillators. The natural frequency is 1 and xc = cos t

Engineering Analysis 4 Workshop questions - week of 11/09/08 1. Give an example of a matrix which has repeated eigenvalues, but which is not defective. 2. Consider the forced system x = Ax + te2t f , where f a constant vector and A is a matrix. (a) Set up

Engineering Analysis 4 Workshop questions - week of 11/09/08 1. Give an example of a matrix which has repeated eigenvalues, but which is not defective. Answer - Defective matrices are characterized by having repeated eigenvalues, but not enough eigenvecto

1. (10 points) The uniform rod AB has a weight of 15 1b and the spring is unstretched when
6: 00. If 6: 300, determine the stiffness k of the spring. Assume that the bar is in stat-i0
equilibrium in its current position. Problem 2 (35 points)
The L~shaped