Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=1-sin 9

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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Find the points at which the following polar curve has a horizontal or a vertical tangent line.
r=1 sin 9
Find as a function of 9.
dy
dx
dy
dx
2 cos 9 sin 9
cos²9-sin ²0
Identify the points where the curve has a horizontal tangent line. Select all that apply.
=
☐A.
D.
G.
-
☐A.
☐D.
G.
3 T
2'6
Identify the points where the curve has a vertical tangent line. Select all that apply.
(2.1)
5t
1 I
2'6
3t
2
3 5
'6
B.
ПЕ.
E.
он.
H.
B.
E.
☐H.
3 5x
2'6
3 11
2' 6
'3 7π]
2'6
3 T
2¹6
1 5t
2'6
11x
3
2' 6
C
C.
OF.
☐1.
☐C.
OF.
01.
(2.77)
(0.7)
1 I
(2-7)
(0.17)
(37)
Transcribed Image Text:Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=1 sin 9 Find as a function of 9. dy dx dy dx 2 cos 9 sin 9 cos²9-sin ²0 Identify the points where the curve has a horizontal tangent line. Select all that apply. = ☐A. D. G. - ☐A. ☐D. G. 3 T 2'6 Identify the points where the curve has a vertical tangent line. Select all that apply. (2.1) 5t 1 I 2'6 3t 2 3 5 '6 B. ПЕ. E. он. H. B. E. ☐H. 3 5x 2'6 3 11 2' 6 '3 7π] 2'6 3 T 2¹6 1 5t 2'6 11x 3 2' 6 C C. OF. ☐1. ☐C. OF. 01. (2.77) (0.7) 1 I (2-7) (0.17) (37)
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