(a) Sketch the conic section. Find and label any foci, vertices, and asymptotes. (x-3)²-9y²= =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 33E
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(a) Sketch the conic section. Find and label any foci, vertices, and asymptotes.
(x-3)²-9y² = 36
(b) Find the equation of the ellipse with foci (0,±2) and semi-major axis length 3.
(a) Find the area of one petal of the rose r = 4sin(30).
(b) Find the arc length of the Archimedian spiral r = 20, from 0 = 0 to 0 = π/2.
Transcribed Image Text:1. 2. (a) Sketch the conic section. Find and label any foci, vertices, and asymptotes. (x-3)²-9y² = 36 (b) Find the equation of the ellipse with foci (0,±2) and semi-major axis length 3. (a) Find the area of one petal of the rose r = 4sin(30). (b) Find the arc length of the Archimedian spiral r = 20, from 0 = 0 to 0 = π/2.
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