Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x + y =

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Match each equation in rectangular coordinates with its equation in polar coordinates:

(a) x + y = 4 (b) x + (y- 1) = 1 (c) x - y = 4 (d) x + y = 4 (i) r(1-2 sin0) = 4 (ii) r(cos + sin 8) = 4

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 22, 2023 03:16 AM

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Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x + y =

Question:

(a) x² + y² = 4 (b) x² + (y- 1)² = 1 (c) x² - y² = 4 (d) x + y = 4 (i) r²(1-2 sin²0) = 4 (ii) r(cos + sin 8) = 4 (iii) r = 2 sin 0 (iv) r = 2

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a Since x y r we have r 4 or r 2 b Using Example 7 the equation of the circle ...View the full answer

Calculus

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