Figure 21 displays the graphs of r = sin 2 in r versus rectangular coordinates and

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Figure 21 displays the graphs of r = sin 2θ in r versus θ rectangular coordinates and in polar coordinates, where it is a “rose with four petals.” Identify:

(a) The points in (B) corresponding to points A–I in (A).
(b) The parts of the curve in (B) corresponding to the angle intervals [0, π/2], [π/2, π], [π, 3π/2], and [3π/2 , 2π].

B F  E G X  *  2 2 D  (A) Graph of r as a function (B) Graph of r = sin 20 of 0, where r = sin 20 in polar

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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