Answered: Chinara starts with the point (3, 5),…

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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Chinara starts with the point (3, 5), and applies the following three-step process, which we call P:
Step 1: Reflect the point in the x-axis.
Step 2: Translate the resulting point 2 units upwards.
Step 3: Reflect the resulting point in the y-axis.
As she does this, the point (3, 5) moves to (3, −5), then to (3, −3), and then to (−3, −3).
Chinara then starts with a different point S₀_. She applies the three-step process P to the point S₀ and obtains the point S1. She then applies P to S1 to obtain the point S2. She applies P four more times, each time using the previous output of P to be the new input, and eventually obtains the point S6(−7, −1). What are the coordinates of the point S₀?

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