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Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)

Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)

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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Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)
Transcribed Image Text:Graph several members of the family of curves with parametric equations x = t + a cos(t), y=t+a sin(t), where a > 0. How does the shape change as a increases? As a increases the curves start having loops. The size of these loops increase with larger values of a. For what values of a does the curve have a loop? (Round your values to one decimal place. Enter your answer using interval notation.)
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