1. Given that ?=(?3−8)45, answer the following questions: a. Determine the inverse for the above function. b. State any six (6) possible values that will be included in the domain of the above function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Given that ?=(?3−8)45, answer the following questions:
a. Determine the inverse for the above function.
b. State any six (6) possible values that will be included in the domain of the above function. 


2. Classify the following sequences:
a. ?−5,5,?+5,……… 
b. ?, ?2−1,?3−2?+1?,……. 


3. James has two job offers. Massy offers James the job with an initial annual salary of $38,800.00 along with guaranteed annual increases of $3,200.00 for the first five years. Unicomer offers him an initial annual salary of $47,600.00 along with guaranteed annual increases of $1,000.00 for the first five years.

a. Compare and contrast the two offers to determine the company that offers the highest annual salary for the fifth year of employment. Show all necessary calculations. 

b. Compare and contrast the two offers to determine the company that proposes the most (total) renumeration over James’ first five years of employment. Show all necessary calculations. 

c. Which company should James take up his employment with if both companies offer him an annual salary of $60,000.00 in his sixth year? Why? 


4. It has been projected by UNDP that the population of Wakanda will increase by 0.8% for each of the next quarters for 5 years. If Wakanda registered a population of 25,000 in the second quarter of 2023 (base period):
a. What is the expected population in Wakanda after the third quarter in 2025? 
b. What is the expected population in Wakanda after the first quarter in 2030?

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