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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 13E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e2b7fa8-2370-4f9a-83c2-b0b61ab94bcc%2F07ae0d6c-9c89-42b0-9064-b6e7f70fb5ac%2Fgfsjlr_processed.jpeg&w=3840&q=75)
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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