4. Given the polar equation r =1+sin 0. (a) Sketch the curve by first sketching it in rectangular coordinates. (b) Find the slope of the tangent line at 0 = 47/3 (c) Find the area of the region bounded by the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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4. Given the polar equation r =1+sin 0.
(a) Sketch the curve by first sketching it in rectangular coordinates.
(b) Find the slope of the tangent line at 0 = 47/3
(c) Find the area of the region bounded by the curve.
Transcribed Image Text:4. Given the polar equation r =1+sin 0. (a) Sketch the curve by first sketching it in rectangular coordinates. (b) Find the slope of the tangent line at 0 = 47/3 (c) Find the area of the region bounded by the curve.
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