Math 1520: Tips for Assignment 2

Published: Fri, 10/11/13

Remember that my midterm seminar for Calculus is coming up this Sunday, Oct. 13.  I will be teaching Lessons 4, 5, 6, and 7 in my Calculus for Management book.  Math 1520 attendees will also receive audio lectures to help with studying Lessons 2 and 3, as well.  Click this link for more info:
Did you read my tips on how to study and learn Math 1500?  If not, here is a link to those important suggestions:
Did read my tips for Assignment 1? If not, here is a link to those important suggestions:
Tips for Assignment 2
These are tips for the second assignment in the Math 1520 course. Although, this assignment is only mandatory for the students in the developmental section, I strongly recommend that you all do this assignment as homework even if you are in the other section of the course.  These assignments are very good (and challenging) practice.  The first assignment is a great way to build and review key skills that will be helpful for this course.

Here is a link to the actual assignment, in case you don't have it:
Note that you need to study Lesson 3 (Logs and Exponentials), Lesson 4 (Limits), and Lesson 5 (Continuity) from my Calculus for Management book to prepare for this assignment.
Don't have my book? You can download a sample here
Question 1
A standard exponential growth and decay problem like I show you in my questions 6 to 10 in Lesson 3.
Question 2
This is a graph reading exercise like I do at the start of my Lesson 4.  Find the road the graph is following as you approach the given x-value from the given direction of the limit and see what y-value the graph leads you to.  Remember, it is irrelevant whether the graph leads you to a point or a hole.  As long as you can identify the y-value at that point or hole, the y-value is the limit.
Question 3
Lots of good practice at limits here.  Make sure you have studied my Lesson 4 thoroughly.  My Practice Problems 21 and 22 might give you some ideas to help with part (d)Part (b) is a bit of tough one.  Make sure you use the Factoring Tip I give you in Lesson 4.  That numerator can be factored.  You might have to use polynomial long division to help you factor it though.  Google that term if you want to see some examples of how.  My question 12 in Lesson 2 should help you understand what to do in part (f).
Question 4
A classic continuity problem like I teach in Lesson 5, make sure you have gone through questions 1, 2 and 3 as well as the Practice Problems.
Question 5
Similar to what I discuss in question 15 of Lesson 4.  Factor the denominator to identify the bottom zeros.  Any bottom zero that causes k/0 is a vertical asymptote.  According to the instructions, I suggest you do the left and right limits for each of the bottom zeros to prove whether the graph specifically heads to positive infinity or negative infinity on each side of the asymptote.  You must compute both the limit as x approaches positive infinity and negative infinity to look for horizontal asymptotes.