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Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=9-9 sin 0 Identify the points where the curve has a horizontal tangent line. Select all that ap 27 11 TVR (18.31) (0.-=-)

Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=9-9 sin 0 Identify the points where the curve has a horizontal tangent line. Select all that ap 27 11 TVR (18.31) (0.-=-)

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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Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=9-9 sin 0 Identify the points where the curve has a horizontal tangent line. Select all that apply. U A. G. A. D. 27 11 2 6 G. 27 7π 2 27 π 6 27 T 2 ~~ 27 5 2 " B. 18, 3л 18,- H. B. Identify the points where the curve has a vertical tangent line. Select all that apply. E. 18, H. 3π 2 9 5 18. BN ~|~ EN 27 7л " E | 0 " 6 11T C. 6 F. 1. C. ד ☐I. π |N 2'6 π 27 5π 2 6 OIN FIN NI 5п 2'6 (9)
Transcribed Image Text:Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=9-9 sin 0 Identify the points where the curve has a horizontal tangent line. Select all that apply. U A. G. A. D. 27 11 2 6 G. 27 7π 2 27 π 6 27 T 2 ~~ 27 5 2 " B. 18, 3л 18,- H. B. Identify the points where the curve has a vertical tangent line. Select all that apply. E. 18, H. 3π 2 9 5 18. BN ~|~ EN 27 7л " E | 0 " 6 11T C. 6 F. 1. C. ד ☐I. π |N 2'6 π 27 5π 2 6 OIN FIN NI 5п 2'6 (9)
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Step 1: define the given

r equals 9 minus 9 sin theta f o r space h o z i z o n t a l space tan g e n t space fraction numerator d y over denominator d theta end fraction equals 0 fraction numerator d y over denominator d theta end fraction equals fraction numerator d r over denominator d theta end fraction sin theta plus r cos theta

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