You reach the communication device and are alerted by your computer that the communication device is 2 with the surrounded by a force field that can be described by the equation, #² + y² = ( ½ x² + ¼ y² −y) ² " origin being where you located this device. The inhabitants of this planet did not want unwelcomed guests, so they made sure to guard the use of this device. Your computer helpfully generates a plot of this equation and tells you that it is a cardioid (whatever that means). The communication device can be taken to the very edge of the force field, but not beyond it. In fact, the only way to use the device is to align it tangent to the force field. Your computer also recovers some files that give points along the force field where the communication device can be used to communicate with different planets. Communication with your home planet can be achieved from the point on the force field, (4,0). If you provide your computer with the equation of the line that satisfies these conditions, you will be able to send a message to your home world. What equation do you provide your computer? y 7- 6 5 4 3 2 1 -1 2 4
You reach the communication device and are alerted by your computer that the communication device is 2 with the surrounded by a force field that can be described by the equation, #² + y² = ( ½ x² + ¼ y² −y) ² " origin being where you located this device. The inhabitants of this planet did not want unwelcomed guests, so they made sure to guard the use of this device. Your computer helpfully generates a plot of this equation and tells you that it is a cardioid (whatever that means). The communication device can be taken to the very edge of the force field, but not beyond it. In fact, the only way to use the device is to align it tangent to the force field. Your computer also recovers some files that give points along the force field where the communication device can be used to communicate with different planets. Communication with your home planet can be achieved from the point on the force field, (4,0). If you provide your computer with the equation of the line that satisfies these conditions, you will be able to send a message to your home world. What equation do you provide your computer? y 7- 6 5 4 3 2 1 -1 2 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
Transcribed Image Text:Aiming the Communication Device
( 1⁄2 x ² + 1/1 y ² − y ) ².
4
You reach the communication device and are alerted by your computer that the communication device is
with the
origin being where you located this device. The inhabitants of this planet did not want unwelcomed guests, so they
made sure to guard the use of this device. Your computer helpfully generates a plot of this equation and tells you
that it is a cardioid (whatever that means). The communication device can be taken to the very edge of the force
field, but not beyond it. In fact, the only way to use the device is to align it tangent to the force field. Your computer
also recovers some files that give points along the force field where the communication device can be used to
communicate with different planets. Communication with your home planet can be achieved from the point on the
force field, (4,0). If you provide your computer with the equation of the line that satisfies these conditions, you will
be able to send a message to your home world. What equation do you provide your computer?
surrounded by a force field that can be described by the equation, ²
x² + y² = (1/1/2
y =
7
6
5
4
D
3-
2
1
-2
2
N.
4
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