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Consider the curve formed by the parametric equations below. Which of the following statements DOES NOT DESCRIBE the graph of the curve? x = et sint and y = et cost, 0 < t < T Its graph is a smooth curve, but not a closed curve. The curve has a vertical tangent line when = 3/4, and a horizontal tangent line when t = a/4. O Option 1 O Option 2 The curve has an arc length of √2e" units. O Option 3 None of the above

Consider the curve formed by the parametric equations below. Which of the following statements DOES NOT DESCRIBE the graph of the curve? x = et sint and y = et cost, 0 < t < T Its graph is a smooth curve, but not a closed curve. The curve has a vertical tangent line when = 3/4, and a horizontal tangent line when t = a/4. O Option 1 O Option 2 The curve has an arc length of √2e" units. O Option 3 None of the above

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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Consider the curve formed by the parametric equations below. Which of the following statements DOES NOT DESCRIBE the graph of the curve? x = et = e sint and y = et cost, 0 < t < T Its graph is a smooth curve, but not a closed curve. The curve has a vertical tangent line when = 3/4, and a horizontal tangent line when & = 7/4. O Option 1 Option 2 The curve has an arc length of √2e" units. Option 3 None of the above
Transcribed Image Text:Consider the curve formed by the parametric equations below. Which of the following statements DOES NOT DESCRIBE the graph of the curve? x = et = e sint and y = et cost, 0 < t < T Its graph is a smooth curve, but not a closed curve. The curve has a vertical tangent line when = 3/4, and a horizontal tangent line when & = 7/4. O Option 1 Option 2 The curve has an arc length of √2e" units. Option 3 None of the above
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