You set off from home on a long training run. A function (x) gives the distance you have traveled (in miles) based on the amount of time that has elapsed (in minutes). a. If you NEVER have to momentarily stop running (like for a traffic light or street crossing) and you don't take any breaks, what could you say about f (x) over the course of your run? What could you say about f '(x) over the entire course of your run? b. Let's say after 30 minutes of running you hit a flat trail and decide to do a 30-minute training interval in which you maintain the same, moderately difficult pace, for the next half hour. What is the value of f"(45)? c. 90 minutes into your run you encounter a long steep hill. It takes you 10 minutes to get to the top. What nhout f"Cac) rval (o o OE2 Explain
You set off from home on a long training run. A function (x) gives the distance you have traveled (in miles) based on the amount of time that has elapsed (in minutes). a. If you NEVER have to momentarily stop running (like for a traffic light or street crossing) and you don't take any breaks, what could you say about f (x) over the course of your run? What could you say about f '(x) over the entire course of your run? b. Let's say after 30 minutes of running you hit a flat trail and decide to do a 30-minute training interval in which you maintain the same, moderately difficult pace, for the next half hour. What is the value of f"(45)? c. 90 minutes into your run you encounter a long steep hill. It takes you 10 minutes to get to the top. What nhout f"Cac) rval (o o OE2 Explain
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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hello, i need some help with this problem.
![You set off from home on a long training run. A function f (x) gives the distance you have traveled (in miles) based
on the amount of time that has elapsed (in minutes).
If you NEVER have to momentarily stop running (like for a traffic light or street crossing) and you don't take
any breaks, what could you say about f(x) over the course of your run? What could you say aboutf'(x)
over the entire course of your run?
а.
b. Let's say after 30 minutes of running you hit a flat trail and decide to do a 30-minute training interval in
which you maintain the same, moderately difficult pace, for the next half hour. What is the value of
f"(45)?
90 minutes into your run you encounter a long steep hill. It takes you 10 minutes to get to the top. What
can you say about f"(x) on the interval (90, 95)? Explain.
С.
d. After two hours of running you decide to take a rest in a shady spot for ten minutes before heading home.
What is f '(125)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd946dc9c-e9de-4c0c-a40a-8c230aa5e8ce%2F5fa0e670-9383-492f-871d-92e9e963a836%2Fkie93we_processed.png&w=3840&q=75)
Transcribed Image Text:You set off from home on a long training run. A function f (x) gives the distance you have traveled (in miles) based
on the amount of time that has elapsed (in minutes).
If you NEVER have to momentarily stop running (like for a traffic light or street crossing) and you don't take
any breaks, what could you say about f(x) over the course of your run? What could you say aboutf'(x)
over the entire course of your run?
а.
b. Let's say after 30 minutes of running you hit a flat trail and decide to do a 30-minute training interval in
which you maintain the same, moderately difficult pace, for the next half hour. What is the value of
f"(45)?
90 minutes into your run you encounter a long steep hill. It takes you 10 minutes to get to the top. What
can you say about f"(x) on the interval (90, 95)? Explain.
С.
d. After two hours of running you decide to take a rest in a shady spot for ten minutes before heading home.
What is f '(125)?
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