Three friends, Xavier, Yolanda, and Zeke, want to have a race on their stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles, for any value of n. Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per hour, and Zeke's speed is 3 miles per hour. We will show that Xavier is incorrect (he has never taken a Discrete Structures course, exi- dently!). (a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Velande? luetifu The angu
Three friends, Xavier, Yolanda, and Zeke, want to have a race on their stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles, for any value of n. Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per hour, and Zeke's speed is 3 miles per hour. We will show that Xavier is incorrect (he has never taken a Discrete Structures course, exi- dently!). (a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Velande? luetifu The angu
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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Please explain the steps
![Cycling Race
Three friends, Xavier, Yolanda, and Zeke, want to have a race on their
stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride
n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles,
for any value of n.
Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per
hour, and Zeke's speed is 3 miles per hour.
We will show that Xavier is incorrect (he has never taken a Discrete
Structures course, evi- dently!).
(a) How large must n be to ensure that Yolanda finishes before Xavier?
Justify the answer.
(b)How large must n be to ensure that Zeke finishes before Xavier? Justify
the answer.
(c) As n gets increasingly large, who completes their ride first, Zeke or
Yolanda? Justify The answer.
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ec53c5c-d1c4-42dd-957e-ce8596851c7e%2F3104ca5d-90f6-4241-b67a-4681ae62f1dc%2Fmcmmyi_processed.png&w=3840&q=75)
Transcribed Image Text:Cycling Race
Three friends, Xavier, Yolanda, and Zeke, want to have a race on their
stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride
n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles,
for any value of n.
Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per
hour, and Zeke's speed is 3 miles per hour.
We will show that Xavier is incorrect (he has never taken a Discrete
Structures course, evi- dently!).
(a) How large must n be to ensure that Yolanda finishes before Xavier?
Justify the answer.
(b)How large must n be to ensure that Zeke finishes before Xavier? Justify
the answer.
(c) As n gets increasingly large, who completes their ride first, Zeke or
Yolanda? Justify The answer.
Answer:
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