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The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, 6). x2+ 4y 2 = 4 O 4 cos² 8 + sin? 8 - 4r O R(4 cos² 8 + sin² ®) = 4 O cos² 8 + 4 sin² 8 - 4r O R(cos² @+ 4 sin² @) - 4 Match the graph to one of the polar equations. O r=2 cos e O rsin e = 1 O r=2 sin e O r= 1

The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, 6). x2+ 4y 2 = 4 O 4 cos² 8 + sin? 8 - 4r O R(4 cos² 8 + sin² ®) = 4 O cos² 8 + 4 sin² 8 - 4r O R(cos² @+ 4 sin² @) - 4 Match the graph to one of the polar equations. O r=2 cos e O rsin e = 1 O r=2 sin e O r= 1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**1A** The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ). - \( x^2 + 4y^2 = 4 \) - \( 4 \cos^2 \theta + \sin^2 \theta = 4r \) - \( r^2(4 \cos^2 \theta + \sin^2 \theta) = 4 \) - \( \cos^2 \theta + 4 \sin^2 \theta = 4r \) - \( r^2(\cos^2 \theta + 4 \sin^2 \theta) = 4 \) **1B** Match the graph to one of the polar equations. *Graph Description:* The graph is a set of concentric circles with a polar grid. The circles emanate from the origin with equal spacing. The axes are labeled from -6 to 6 on both the x and y directions. - \( r = 2 \cos \theta \) - \( r \sin \theta = 1 \) - \( r = 2 \sin \theta \) - \( r = 1 \)
Transcribed Image Text:**1A** The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ). - \( x^2 + 4y^2 = 4 \) - \( 4 \cos^2 \theta + \sin^2 \theta = 4r \) - \( r^2(4 \cos^2 \theta + \sin^2 \theta) = 4 \) - \( \cos^2 \theta + 4 \sin^2 \theta = 4r \) - \( r^2(\cos^2 \theta + 4 \sin^2 \theta) = 4 \) **1B** Match the graph to one of the polar equations. *Graph Description:* The graph is a set of concentric circles with a polar grid. The circles emanate from the origin with equal spacing. The axes are labeled from -6 to 6 on both the x and y directions. - \( r = 2 \cos \theta \) - \( r \sin \theta = 1 \) - \( r = 2 \sin \theta \) - \( r = 1 \)
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