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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Question
The limaçon family The equations r = a + b cos θ and r = a + b sin θ describe curves known as limaçons (from Latin for snail). We have already encountered cardioids, which occur when | a | = | b | . The limaçon has an inner loop if | a | < | b | . The limaçon has a dent or dimple if
| b | < | a | < 2 | b | . And the limaçon is oval-shaped if | a | > 2 | b | . Match equations a–f with the limaçons in figures A–F.
a. r = -1 + sin θ b. r = -1 + 2 cos θ
c. r = 2 + sin θ d. r = 1 - 2 cos θ
e. r = 1 + 2 sin θ f. r = 1 + 2/3 sin θ
![y 4
y.
3+
(А)
(В)
y
-2+
(С)
(D)
yA
2
-1+
-2
(E)
(F)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8df5198c-5666-447c-be33-b3364c1331a8%2F382dd863-3b5b-4e09-9358-5fc674267aef%2F4z65ds.png&w=3840&q=75)
Transcribed Image Text:y 4
y.
3+
(А)
(В)
y
-2+
(С)
(D)
yA
2
-1+
-2
(E)
(F)
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