2. Given: polar curves C₁ : r = √√√2- cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√2, ³) and B(√², 7) 플 (a) Determine the Cartesian equation of the tangent line to C₁ at the point where 0 = 플. (b) SET-UP the integral which yields the arc length of the portion of C₂ traced counterclockwise from B to A. 0 R

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
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2. Given: polar curves C₁ : r = √√√2 - cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√², ³7) and B(√², 7)
플
(a) Determine the Cartesian equation of the tangent line to C₁
at the point where 0 =
=
C₂
A
(b) SET-UP the integral which yields the arc length of the portion
of C₂ traced counterclockwise from B to A.
(c) SET-UP the integral which yields the area of the indicated
region R between C₁ and C₂.
C₁
R
B
0
Transcribed Image Text:2. Given: polar curves C₁ : r = √√√2 - cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√², ³7) and B(√², 7) 플 (a) Determine the Cartesian equation of the tangent line to C₁ at the point where 0 = = C₂ A (b) SET-UP the integral which yields the arc length of the portion of C₂ traced counterclockwise from B to A. (c) SET-UP the integral which yields the area of the indicated region R between C₁ and C₂. C₁ R B 0
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