Week 3 – Pre-Calculus

1. What is a natural logarithm? How is it different from and similar to regular logarithms? Provide examples for how natural logarithms appear in nature or in natural science. What are two applications of logarithmic and exponential functions in science?
2. What is the relationship between exponential and logarithmic functions? Include examples.
3. Graph two logarithmic functions with different bases and their corresponding exponential functions. What are the similarities and differences in the graphs?
4. WK3 Exercise 8 – Exponential Functions
Graph the function.  
Graph the function.
Find the accumulated value of an investment of $8500 if it is invested for 3 years at an interest rate of 4.25% and the money is compounded monthly.
Find the accumulated value of an investment of $1200 if it is invested for 6 years at an interest rate of 6% and the money is compounded continuously.
MTH/225 WK3 Exercise 10 – Exponential Functions
Let  R be the response time of some computer system, 
U be the machine utilization (CPU), 
S be the service time per transaction,
Q be the queue time (or wait time… pronounced as my last name, Kieu) and  
a be the arrival rate (number of log-on users). 
The total response time (excluding network delay) is the sum of queue time and service time. Thus,
R = S + Q (1)
Generally, the service time is predictable and relatively invariant. The time a transaction spends in queue, however, varies with the transaction arrival rate a. Assuming that the arrival and service processes are homogeneous (time-invariant), the following is true:
R = SQ + S   (2)
According to Queuing Theory (Allen, 2014): 
Q = a * R  (3)
Manipulating equations (2) and (3) using Factoring method, we obtain:    
R = S / 1-aS  (4)
1. Show how you manipulate the two equations (2) and (3) to arrive at (4). 
2. Create a graph for (4), discuss observations, and make interpretations of this graph. 

Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Order your essay today and save 25% with the discount code: COCONUTPlace Order