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 32E
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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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