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3. Consider the parametric equations x = 3 cos@ and y=2 sin 0, for 0≤0<2m. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. A

3. Consider the parametric equations x = 3 cos@ and y=2 sin 0, for 0≤0<2m. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. A

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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3. Consider the parametric equations x = 3 cos@ and y=2 sine, for 0≤0 ≤ 2. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. HA 4. A bicyclist rides counterclockwise with constant speed around a circular velodrome track with a radius of 50 m, completing one lap in 24 seconds. Find parametric equations that describe the circular path.
Transcribed Image Text:3. Consider the parametric equations x = 3 cos@ and y=2 sine, for 0≤0 ≤ 2. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. HA 4. A bicyclist rides counterclockwise with constant speed around a circular velodrome track with a radius of 50 m, completing one lap in 24 seconds. Find parametric equations that describe the circular path.
1. Consider the parametric equations x=t²-2 and y=2t, for -2≤t≤3. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. 2. Find parametric equations for the line segment starting at P(0, 3) and ending at Q(-2,0).
Transcribed Image Text:1. Consider the parametric equations x=t²-2 and y=2t, for -2≤t≤3. (a) Sketch the curve by plotting points. Indicate the positive orientation with an arrow. (b) Eliminate the parameter to find a Cartesian equation of the curve. 2. Find parametric equations for the line segment starting at P(0, 3) and ending at Q(-2,0).
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