1. Consider the rectangular (Cartesian) equation a + (y-2) 4. a. Describe the graph (shape, size, location) of this equation in words. b. Convert this to a polar equation (show all work). c. Confirm by using technology that it has the same graph. d. Choose one point on this graph to start with rectangular coordinates and convert to polar coordinates (show all work). e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates show all work).
1. Consider the rectangular (Cartesian) equation a + (y-2) 4. a. Describe the graph (shape, size, location) of this equation in words. b. Convert this to a polar equation (show all work). c. Confirm by using technology that it has the same graph. d. Choose one point on this graph to start with rectangular coordinates and convert to polar coordinates (show all work). e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates show all work).
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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Question
Transcribed Image Text:3 cos & for solutions 0 e
1. Consider the rectangular (Cartesian) equation a
a. Describe the graph (shape, size, location) of this equation in words.
b. Convert this to a polar equation (show all work).
c. Confirm by using technology that it has the same graph.
d. Choose one point on this graph to start with rectangular coordinates and convert to polar coordinates (show all
work).
e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates show all
work).
21
2. Consider the polar equation r=
4 cos 0+sin0
a. Converting to a rectangular equation (show all work).
b. Describe the graph of this equation in words (be specific).
c. Confirm your result by using technology to graph the polar equation.
d. Choose one point on this graph to start with rectangular coordinates and convert to polar coordinates (show all
work).
e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates (show all
work).
3. Solve 4 sin(20) = 3 cos 0 for solutions 0E
both rectangular and polar coordinates.
0, 27). showing all work. Demonstrate the solution graphically using
)+ cos(a+ )
cos r. Describe how you choose each step in your process.
CoS(2
4. Prove that sin(x +
7:5
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