Answered: 4. {(2,2), (4,4), (3,2), (5,7), (1,4)}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You have $100 saved and plan to save $20 each month. Write a rule for the amount saved (in dollars) as a function of the number of months from now. Identify the independent and dependent variables, the domain, and the range. How much will you have saved altogether 12 months from now?
the type of function
Decide if the following tables represent functions that are linear, quadratic or exponential
Determine whether the statement makes sense or does not make sense, and explain your reasoning : "My body temperature is a function of the time of day."
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Pick a destination for a hypothetical road trip. What is the distance in miles? If you are traveling this road trip, the distance remaining can be described as a function of miles driven. Use function notation to write a mathematical function to describe the distance remaining. Use x for the domain and for the range. Identify 3 ordered pairs that fit within the domain and range of your function. Use these three ordered pairs to graph the function
Pick a destination for a hypothetical road trip. What is the distance in miles? If you are traveling this road trip, the distance remaining can be described as a function of miles driven. Use function notation to write a mathematical function to describe the distance remaining. Use x for the domain and for the range.
The cost for 4 hours of parking is $4. The maximum charge for parking is $18. 6. Suzanne has a $30 credit on an online music site. For each MP3 she downloads, $1 is subtracted from her credit. The function y of credit remaining after x downloads. 30 - x models the amount |31 Which statement is true? A The function is discrete because the independent variable, MP3S, can only 8. be measured in whole numbers. The function is discrete because the independent variable, dollars, must be positive. C The function is continuous because the independent variable, money, is measurable and continuous. D The function is continuous because the dependent variable, MP3S, must be positive.
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Assume your salary is $25,000$⁢25,000 per year and $80$⁢80 for each computer you sell. What function represents your total pay for one year? Be sure to indicate any domain restrictions.
Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15. a. Create a function called f whose input is the number of horses you own and whose output is the number of bales of hay eaten per month. Use x as your input variable. b. Create a function called g whose input is the number of bales of hay eaten per month and whose output is the total cost. Use x as your input variable. c. Create a function called / whose input is the number of horses you own and whose output is the total cost. Use x as your input variable. d. If you own 5 horses, use your functions f, g and h to find out how many bales of hay are eaten per month and how much money this will cost. e. Draw a diagram of the three functions f, g, and h. Show the input and output of each function, and their relationship.

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4. {(2,2), (4,4), (3,2), (5,7), (1,4)} 5. {(1,2), (3,4), (5,6), (7,8), (9,10)}