(5) a. Convert the following from rectangular form into polar form: (6,-3). Your answer should include three coordinates total over the interval (-2, 2n]). Write a short statement for each coordinate as to why they indicate the same location. b. Write an equation for two limaçons: one dimpled and one looped. The equations should be identical except for one value or symbol and should intersect 3 times. Explain how you know the graphs intersect by only analyzing the equations you've written.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(5)
a. Convert the following from rectangular form into polar form: (6,-3). Your answer should include
three coordinates total over the interval (-2,2]). Write a short statement for each coordinate as to
why they indicate the same location.
b. Write an equation for two limaçons: one dimpled and one looped. The equations should be identical
except for one value or symbol and should intersect 3 times. Explain how you know the graphs
intersect by only analyzing the equations you've written.
Transcribed Image Text:(5) a. Convert the following from rectangular form into polar form: (6,-3). Your answer should include three coordinates total over the interval (-2,2]). Write a short statement for each coordinate as to why they indicate the same location. b. Write an equation for two limaçons: one dimpled and one looped. The equations should be identical except for one value or symbol and should intersect 3 times. Explain how you know the graphs intersect by only analyzing the equations you've written.
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