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1. Consider the polar equation r- 3 sin(20). (a) Complete the tables for the given values of e. Round to the nearest tenth as needed. (b) Graph the equation. Answer: 田 (a) r - 3sin(20) 11 2 r- 3sin(20) (b)

1. Consider the polar equation r- 3 sin(20). (a) Complete the tables for the given values of e. Round to the nearest tenth as needed. (b) Graph the equation. Answer: 田 (a) r - 3sin(20) 11 2 r- 3sin(20) (b)

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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### Polar Equation: r = 3sin(2θ) #### Part (a): Completing the Table Complete the tables for the given values of \( \theta \). Round to the nearest tenth as needed. #### Table (a): | \( \theta \) | 0 | \( \frac{\pi}{6} \) | \( \frac{\pi}{4} \) | \( \frac{\pi}{3} \) | \( \frac{2\pi}{3} \) | \( \frac{3\pi}{4} \) | \( \frac{5\pi}{6} \) | \( \pi \) | |---|---|---|---|---|---|---|---|---| | \( r = 3\sin(2\theta) \) | | | | | | | | | #### Table (b): | \( \theta \) | 0 | \( \frac{\pi}{6} \) | \( \frac{\pi}{4} \) | \( \frac{\pi}{3} \) | \( \frac{2\pi}{3} \) | \( \frac{3\pi}{4} \) | \( \frac{5\pi}{6} \) | \( \pi \) | \( \frac{5\pi}{4} \) | \( \frac{4\pi}{3} \) | \( \frac{3\pi}{2} \) | \( \frac{7\pi}{4} \) | \( \frac{11\pi}{6} \) | \( 2\pi \) | |---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| | \( r = 3\sin(2\theta) \) | | | | | | | | | | | | | | | #### Part (b): Graph the Equation The second part of the question is to graph the equation on a polar coordinate system. Below is a detailed explanation of the polar graph: ##### Polar Graph Explanation: The graph shown is a polar plot with angles marked in degrees around the circumference and radius values extending straight outwards from the center. The
Transcribed Image Text:### Polar Equation: r = 3sin(2θ) #### Part (a): Completing the Table Complete the tables for the given values of \( \theta \). Round to the nearest tenth as needed. #### Table (a): | \( \theta \) | 0 | \( \frac{\pi}{6} \) | \( \frac{\pi}{4} \) | \( \frac{\pi}{3} \) | \( \frac{2\pi}{3} \) | \( \frac{3\pi}{4} \) | \( \frac{5\pi}{6} \) | \( \pi \) | |---|---|---|---|---|---|---|---|---| | \( r = 3\sin(2\theta) \) | | | | | | | | | #### Table (b): | \( \theta \) | 0 | \( \frac{\pi}{6} \) | \( \frac{\pi}{4} \) | \( \frac{\pi}{3} \) | \( \frac{2\pi}{3} \) | \( \frac{3\pi}{4} \) | \( \frac{5\pi}{6} \) | \( \pi \) | \( \frac{5\pi}{4} \) | \( \frac{4\pi}{3} \) | \( \frac{3\pi}{2} \) | \( \frac{7\pi}{4} \) | \( \frac{11\pi}{6} \) | \( 2\pi \) | |---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| | \( r = 3\sin(2\theta) \) | | | | | | | | | | | | | | | #### Part (b): Graph the Equation The second part of the question is to graph the equation on a polar coordinate system. Below is a detailed explanation of the polar graph: ##### Polar Graph Explanation: The graph shown is a polar plot with angles marked in degrees around the circumference and radius values extending straight outwards from the center. The
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