Chat with AIExam 12: Parametric Equations, Polar Coordinates, and Conic Sections
Exam 1: Precalculus Review74 Questions
Exam 2: Limits97 Questions
Exam 3: Differentiation81 Questions
Exam 4: Applications of the Derivative77 Questions
Exam 5: The Integral82 Questions
Exam 6: Applications of the Integral80 Questions
Exam 7: Exponential Functions106 Questions
Exam 8: Techniques of Integration101 Questions
Exam 9: Further Applications of the Integral and Taylor Polynomials100 Questions
Exam 10: Introduction to Differential Equations73 Questions
Exam 11: Infinite Series95 Questions
Exam 12: Parametric Equations, Polar Coordinates, and Conic Sections71 Questions
Exam 13: Vector Geometry96 Questions
Exam 14: Calculus of Vector-Valued Functions99 Questions
Exam 15: Differentiation in Several Variables95 Questions
Exam 16: Multiple Integration98 Questions
Exam 17: Line and Surface Integrals92 Questions
Exam 18: Fundamental Theorems of Vector Analysis91 Questions
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The surface area 
of the surface generated by revolving a parametric curve 
about the x-axis for 
is given by the formula 
.
Compute the area of the surface generated by revolving the curve 
, 
about the x-axis.
of the surface generated by revolving a parametric curve about the x-axis for is given by the formula .
Compute the area of the surface generated by revolving the curve , about the x-axis.
Free
(Essay)
4.9/5 
(43)
(43) Correct Answer:
Verified
Verified
The polar curve 
is the equation of:
A)
a circle.
B)
an ellipse.
C)
a parabola.
D)
a hyperbola.
E)
a line.
is the equation of:
A)
a circle.
B)
an ellipse.
C)
a parabola.
D)
a hyperbola.
E)
a line.Free
(Essay)
4.8/5 (43)
(43) Correct Answer:Verified
Verified
focus: 
vertex: 
directrix: 
Find the arc length of the parametric curve 
for 
.
for .Free
(Essay)
4.7/5 (34)
(34) Correct Answer:Verified
Verified
The equation of 
in Cartesian coordinates is which of the following?
in Cartesian coordinates is which of the following? (Multiple Choice)
4.9/5 (37)
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is a parametrization of which curve?A particle travels along a path 
(where time is measured in minutes and length in feet). Find the speed of the particle at 
, and compute the displacement and the distance traveled during the first 
min.
(where time is measured in minutes and length in feet). Find the speed of the particle at , and compute the displacement and the distance traveled during the first min. (Essay)
4.8/5 (40)
(40) The area that lies outside 
and inside 
is approximately which of the following? 
and inside is approximately which of the following? (Multiple Choice)
4.9/5 (35)
(35) The surface area 
of the surface generated by revolving a parametric curve 
about the x-axis for 
is given by the formula 
.
Compute the area of the surface generated by revolving the curve 
about the x-axis.
of the surface generated by revolving a parametric curve about the x-axis for is given by the formula .
Compute the area of the surface generated by revolving the curve about the x-axis. (Essay)
4.7/5 (51)
(51) 
. 
Which of the following equations describes the graph of a hyperbola?
(Multiple Choice)
4.7/5 (26)
(26) 
.Eliminate the parameter and write an equation in 
and 
for the parametric curve 
and for the parametric curve (Essay)
4.7/5 (37)
(37) The equation of 
in Cartesian coordinates is which of the following?
in Cartesian coordinates is which of the following? (Multiple Choice)
4.9/5 (37)
(37) The Cartesian coordinates of the point on the polar curve 
closest to the origin are:
closest to the origin are: (Multiple Choice)
4.9/5 (30)
(30) 
for 
.Consider the conic section 
.
A) Identify the conic.
B) Find the foci, vertices, and eccentricity of the conic.
.
A) Identify the conic.
B) Find the foci, vertices, and eccentricity of the conic. (Essay)
5.0/5 (42)
(42) 
at 
.
.
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