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1. Consider the graph of the following set of parametric equations: x(t) = sin t y(t) = cos 2t t > 0 (a) Graph this curve. Why does it look the way it does (as opposed to what you might expect)? (b) Write this equation in the form y = f(x) (Hint: Use the formula cos 2x cos? x- sin2 x)

1. Consider the graph of the following set of parametric equations: x(t) = sin t y(t) = cos 2t t > 0 (a) Graph this curve. Why does it look the way it does (as opposed to what you might expect)? (b) Write this equation in the form y = f(x) (Hint: Use the formula cos 2x cos? x- sin2 x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the graph of the following set of parametric equations: x(t) = sin t y(t) = cos 2t t > 0 (a) Graph this curve. Why does it look the way it does (as opposed to what you might expect)? (b) Write this equation in the form y = f(x) (Hint: Use the formula cos 2x cos? x– sin2 x) %3D
Transcribed Image Text:1. Consider the graph of the following set of parametric equations: x(t) = sin t y(t) = cos 2t t > 0 (a) Graph this curve. Why does it look the way it does (as opposed to what you might expect)? (b) Write this equation in the form y = f(x) (Hint: Use the formula cos 2x cos? x– sin2 x) %3D
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