Math 246 Homework Assignment Two Solutions
Note that this is the upper curve shown in the direction field plot.
 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
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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
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
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
dY 1 3
For the system
dt 1 1 ,
a) Compute the eigenvalues of
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
1. Which of the following set of functions is linearly
independent and which is linearly dependent? Give a reason
to your answer.
2. Write a general solution of the differential equation
3. Write a general solution of the
Assignment 2: (six questions)
Solve the differential equations 1-4
Sketch an approximate solution of the initial value
in the window shown below. You may scan your answer.
Use the step size 0.25 to write approximat
Math 246 Homework Assignment One - Solutions
1.  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.  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
Step 2: Select the level of significance.
Step 3: Evaluate the test statistic.
Step 4: Formulate a decision