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Consider the polar curve given by the equation r(0) = 1 - sin(30). It is an example of what is sometimes called a rose. a) Sketch a graph of the rose. How many leaves does the rose have? b) Find the slope of the line tangent to the rose at the (polar) point (1, 7). Give an exact value. c) Find the area inside one leaf of the rose.

Consider the polar curve given by the equation r(0) = 1 - sin(30). It is an example of what is sometimes called a rose. a) Sketch a graph of the rose. How many leaves does the rose have? b) Find the slope of the line tangent to the rose at the (polar) point (1, 7). Give an exact value. c) Find the area inside one leaf of the rose.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Consider the polar curve given by the equation r(0) = 1 - sin(3 0). It is an example of what is sometimes called a rose. a) Sketch a graph of the rose. How many leaves does the rose have? b) Find the slope of the line tangent to the rose at the (polar) point (1, 7). Give an exact value. c) Find the area inside one leaf of the rose.
Transcribed Image Text:Consider the polar curve given by the equation r(0) = 1 - sin(3 0). It is an example of what is sometimes called a rose. a) Sketch a graph of the rose. How many leaves does the rose have? b) Find the slope of the line tangent to the rose at the (polar) point (1, 7). Give an exact value. c) Find the area inside one leaf of the rose.
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