(d) If instead the Cylons want to maintain a minimum force of 5000 soldiers, how many should they send each day?
(d) If instead the Cylons want to maintain a minimum force of 5000 soldiers, how many should they send each day?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
part d please
![Question 3 Captain Picard and the rest of the crew of the Rocinante are defending their position on Tatooine
against the evil robotic Cylon invaders. Each day of the battle, 1500 Cylons arrive at dawn, and
throughout each day the crew is able to eliminate 60% of the Cylons on the battlefield.
(a) Let C, be the number of Cylons on the planet at the end of the day on the nth day of the battle.
Find C1, C2, and C3.
(b) Find an explicit, closed-form formula for the number of Cylons at the end of the day on the nth
day of the battle. (Explicit means we write C, as a function of n alone as opposed to a recursive
formula where Cn is written in terms of Cp-1. By closed-form, we mean a formula without
shorthand such as sigma notation or +
· +.)
(c) In the long run,
how many Cylons will be on the planet after a day of battle?
(d) If instead the Cylons want to maintain a minimum force of 5000 soldiers, how many should they
send each day?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bb54c50-d653-47f8-8cfc-545a4ed262e0%2Fb2faca1c-39a5-4adc-8744-78aa3be7bb2c%2Fb34suu_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3 Captain Picard and the rest of the crew of the Rocinante are defending their position on Tatooine
against the evil robotic Cylon invaders. Each day of the battle, 1500 Cylons arrive at dawn, and
throughout each day the crew is able to eliminate 60% of the Cylons on the battlefield.
(a) Let C, be the number of Cylons on the planet at the end of the day on the nth day of the battle.
Find C1, C2, and C3.
(b) Find an explicit, closed-form formula for the number of Cylons at the end of the day on the nth
day of the battle. (Explicit means we write C, as a function of n alone as opposed to a recursive
formula where Cn is written in terms of Cp-1. By closed-form, we mean a formula without
shorthand such as sigma notation or +
· +.)
(c) In the long run,
how many Cylons will be on the planet after a day of battle?
(d) If instead the Cylons want to maintain a minimum force of 5000 soldiers, how many should they
send each day?
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