Consider the rectangular (Cartesian) equation a² + (y-2)² = 4. a. Describe the graph (shape, size, location) of this equation in words. b. Convert this to a polar equation (show all algebraic 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 algebraic work). e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates (show all algebraic work).
Consider the rectangular (Cartesian) equation a² + (y-2)² = 4. a. Describe the graph (shape, size, location) of this equation in words. b. Convert this to a polar equation (show all algebraic 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 algebraic work). e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates (show all algebraic 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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Transcribed Image Text:1. Consider the rectangular (Cartesian) equation a² + (y-2)² = 4.
a. Describe the graph (shape, size, location) of this equation in words.
b. Convert this to a polar equation (show all algebraic 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 algebraic work).
e. Choose another point on this graph to start with polar coordinates and convert to rectangular coordinates (show all algebraic work).
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