Given the following polar function r = 8 + 18 sin(0) dy and expres it in terms of 0: dx (a) Find an expression for dy dæ Type theta for 0 (b) Find the 0 for 0 < 0 < 2n where there is a horizontal tangent line. Find its exact value; no decimal entries allowed. (c) Find the first two positive values of 0 where there is a vertical tangent line. Find its exact value; no decimal entries allowed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Question 19
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Given the following polar function
r = 8+ 18 sin(0)
dy
(a) Find an expression for
and expres it in terms of 0:
dx
dy
dx
Type theta for 0
(b) Find the 0 for 0 < 0 < 2n where there is a horizontal tangent line.
Find its exact value; no decimal entries allowed.
(c) Find the first two positive values of 0 where there is a vertical tangent line.
Find its exact value; no decimal entries allowed.
Transcribed Image Text:Question 19 > Given the following polar function r = 8+ 18 sin(0) dy (a) Find an expression for and expres it in terms of 0: dx dy dx Type theta for 0 (b) Find the 0 for 0 < 0 < 2n where there is a horizontal tangent line. Find its exact value; no decimal entries allowed. (c) Find the first two positive values of 0 where there is a vertical tangent line. Find its exact value; no decimal entries allowed.
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