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Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 sin t, y = 6 cos t; 0sts 21 O y= Va2 - x2 = 36; for x in -*

Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 sin t, y = 6 cos t; 0sts 21 O y= Va2 - x2 = 36; for x in -*

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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**Problem Statement:** *Find a rectangular equation for the plane curve defined by the parametric equations.* Given the parametric equations: - \( x = 6 \sin t \) - \( y = 6 \cos t \) - \( 0 \leq t \leq 2\pi \) Select the correct rectangular equation from the options below: 1. \( y = \sqrt{36 - x^2} = 36; \) for \( x \) in \( -\infty < x < \infty \) 2. \( x^2 + y^2 = 36; \) for \( x \) in \( -6 \leq x \leq 6 \) 3. \( y^2 - x^2 = 36; \) for \( x \) in \( -\infty < x < \infty \) 4. \( y = x^2 - 9; \) for \( x \) in \( -2 \leq x \leq 2 \)
Transcribed Image Text:**Problem Statement:** *Find a rectangular equation for the plane curve defined by the parametric equations.* Given the parametric equations: - \( x = 6 \sin t \) - \( y = 6 \cos t \) - \( 0 \leq t \leq 2\pi \) Select the correct rectangular equation from the options below: 1. \( y = \sqrt{36 - x^2} = 36; \) for \( x \) in \( -\infty < x < \infty \) 2. \( x^2 + y^2 = 36; \) for \( x \) in \( -6 \leq x \leq 6 \) 3. \( y^2 - x^2 = 36; \) for \( x \) in \( -\infty < x < \infty \) 4. \( y = x^2 - 9; \) for \( x \) in \( -2 \leq x \leq 2 \)
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