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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 Select--- the curves start having loops. The size of these loops increase with ---Select--- ✓ 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.) Need Help? Read It

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 Select--- the curves start having loops. The size of these loops increase with ---Select--- ✓ 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.) Need Help? Read It

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.1: Basic Graphs
Problem 49PS
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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 Select--- the curves start having loops. The size of these loops increase with ---Select--- ✓ 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.) Need Help? Read It
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 Select--- the curves start having loops. The size of these loops increase with ---Select--- ✓ 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.) Need Help? Read It
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