Math 246 Homework Assignment Two Solutions
1. [2]
Note that this is the upper curve shown in the direction field plot.
2.
[3] A lunar lander is falling freely towards the surface of the moon at a speed of
450 meters per second (m/sec). Its retrorockets, w
Parabolic Communications, Inc.
2400 K Street, NE | Suite 1600 | Washington, DC | 20002
Telephone: 202.202.1213 | Fax: 202.202.1213 | PARACOMM.COM
Tactical Package #3- Speech
The speech that I have written is meant to be used to honor the team owner and le
MGMT 650 Fall 2016 Problem Set 3
(Last updated 9/19/2016)
1. Confidence Interval:
Compute a 95% confidence interval for the population
mean, based on the sample numbers 21, 22, 33, 34, 25,
26, and 139.
Change the last value to 29 and re-compute the
confid
MGMT 650 Fall 2016 Problem Set 2
1. Simple Probability:
Compute these probabilities:
a. The probability of rolling the number 6 using one die.
b. The probability of rolling the number 6 twice in 2 rolls
using only one die.
c. If the probability of seeing
Assignment 1:
1. An object is taken out of the oven that is set at a
temperature of 370D F and taken to a room that is at a
temperature 70D F . After 5 minutes, the temperature of
the object is 250D F .
a) Use the Newtons law of cooling to write a differe
1.
xt
dY 1 3
YY t
For the system
dt 1 1 ,
y t
1 3
a) Compute the eigenvalues of
1 1
b) For each eigenvalue, compute an associated eigenvector.
c) For each eigenvalue, specify the equation of the corresponding
straight line solution
d) Write the ge
Assignment 3:
1. Which of the following set of functions is linearly
independent and which is linearly dependent? Give a reason
to your answer.
a)
b)
,
2,1
,1
2. Write a general solution of the differential equation
2
0
3. Write a general solution of the
Assignment 2: (six questions)
Solve the differential equations 1-4
1.
2.
, 1
3.
2
1
4.
5.
Sketch an approximate solution of the initial value
problem
,
0
1
in the window shown below. You may scan your answer.
6.
Use the step size 0.25 to write approximat
Math 246 Homework Assignment One - Solutions
1. [3] Recall from calculus that ! ! = ! !" is the solution of the differential
equation ! ! = !", ! 0 = !, where A and k are constants (for a given problem).
Note that although A and k are constant for a given
Math 246 Homework Assignment Three Solutions
1. [5] Determine the doubling time (time it takes a given investment to double in
value) for each of these: (a) An investment of 8% compounded quarterly, (b) an
investment of 7.5% compounded continuously. Which
MGMT 650 Fall 2016 Problem Set 4
*Note: For problems, complete the 5-step process:
Step 1: State the null hypothesis and the alternate
hypothesis.
Step 2: Select the level of significance.
Step 3: Evaluate the test statistic.
Step 4: Formulate a decision