Consider the parametric equations (t) = cos(t) +2 and y(t) = 4 sin² (t), for 0 ≤ t ≤ 1. x A. Eliminate the parameter t and find a cartesian equation in the form y = f(x). Hint: instead of solving fort solve for cos(t) and use the Pythagorean Identity. B. Sketch a graph of the parametric equations (using what you learned in part A). Label the points on this graph that represent the lower and upper bound for the value of t.
Consider the parametric equations (t) = cos(t) +2 and y(t) = 4 sin² (t), for 0 ≤ t ≤ 1. x A. Eliminate the parameter t and find a cartesian equation in the form y = f(x). Hint: instead of solving fort solve for cos(t) and use the Pythagorean Identity. B. Sketch a graph of the parametric equations (using what you learned in part A). Label the points on this graph that represent the lower and upper bound for the value of t.
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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Transcribed Image Text:Consider the parametric equations (t) = cos(t) +2 and y(t) = 4 sin² (t), for 0 ≤ t ≤ 1.
x
A. Eliminate the parameter t and find a cartesian equation in the form y = f(x).
Hint: instead of solving fort solve for cos(t) and use the Pythagorean Identity.
B. Sketch a graph of the parametric equations (using what you learned in part A). Label the points on this graph that
represent the lower and upper bound for the value of t.
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