Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Also include at the start, the conversion of it to cartesian coordinates. Box the final answers

Consider the polar curves C2₂ r = 4 cos 0 and C3 r = 4 sin 0.
:
(a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3.
(b) Set up the integral that gives the area of the region inside both C₂ and C3.
Transcribed Image Text:Consider the polar curves C2₂ r = 4 cos 0 and C3 r = 4 sin 0. : (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.
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