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Consider the curve given by the polar equation An sketch of the curve looks as follows: r = cos(30). 0.5 (a) Finds numbers a, b such that {r = cos(30); a ≤ 0 ≤ b} corresponds exactly to the blue leaf (b) Compute the area of the blue leaf in (a).

Consider the curve given by the polar equation An sketch of the curve looks as follows: r = cos(30). 0.5 (a) Finds numbers a, b such that {r = cos(30); a ≤ 0 ≤ b} corresponds exactly to the blue leaf (b) Compute the area of the blue leaf in (a).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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P3 Consider the curve given by the polar equation An sketch of the curve looks as follows: (a) Finds numbers a, b such that {r leaf r = cos(30). -0.5 0.5 = = cos(30); a ≤ 0 ≤ b} corresponds exactly to the blue (b) Compute the area of the blue leaf in (a). Edit: You can leave your answer as an integral over some function in 0.
Transcribed Image Text:P3 Consider the curve given by the polar equation An sketch of the curve looks as follows: (a) Finds numbers a, b such that {r leaf r = cos(30). -0.5 0.5 = = cos(30); a ≤ 0 ≤ b} corresponds exactly to the blue (b) Compute the area of the blue leaf in (a). Edit: You can leave your answer as an integral over some function in 0.
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