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Find a vector-valued function whose graph is the ellipsoid Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)
B) Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)
C) Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)
D) Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)
E) Find a vector-valued function whose graph is the ellipsoid   . A)    B)    C)    D)    E)

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Find a vector-valued function whose graph is the cone Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)
B) Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)
C) Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)
D) Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)
E) Find a vector-valued function whose graph is the cone   . A)    B)    C)    D)    E)

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Match the following vector-valued function with its graph. Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)


A) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
B) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
C) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
D) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
E) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)

Correct Answer

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Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)   and sketch the graph.


A) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)
B) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)
C) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)
D) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)
E) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   and sketch the graph. A)    B)    C)    D)    E)

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D

Identify the surface by eliminating the parameters from the vector-valued function Identify the surface by eliminating the parameters from the vector-valued function   . A)  plane B)  sphere C)  paraboloid D)  cylinder E)  ellipsoid .


A) plane
B) sphere
C) paraboloid
D) cylinder
E) ellipsoid

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Find the area of the surface given by Find the area of the surface given by   , where   . A)    B)    C)    D)    E)   , where Find the area of the surface given by   , where   . A)    B)    C)    D)    E)   .


A) Find the area of the surface given by   , where   . A)    B)    C)    D)    E)
B) Find the area of the surface given by   , where   . A)    B)    C)    D)    E)
C) Find the area of the surface given by   , where   . A)    B)    C)    D)    E)
D) Find the area of the surface given by   , where   . A)    B)    C)    D)    E)
E) Find the area of the surface given by   , where   . A)    B)    C)    D)    E)

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Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point. Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)


A) Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)
B) Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)
C) Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)
D) Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)
E) Find an equation of the tangent plane to the surface represented by the vector-valued function at the given point.   A)    B)    C)    D)    E)

Correct Answer

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Find a vector-valued function for the hyperboloid Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)
B) Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)
C) Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)
D) Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)
E) Find a vector-valued function for the hyperboloid   . A)    B)    C)    D)    E)

Correct Answer

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Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)   about the x-axis.


A) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)
B) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)
C) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)
D) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)
E) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function   about the x-axis. A)    B)    C)    D)    E)

Correct Answer

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Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis. Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)


A) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)
B) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)
C) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)
D) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)
E) Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.   A)    B)    C)    D)    E)

Correct Answer

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The surface of the dome on a new museum is given by The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)   and The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)   is in meters. Find the surface area of the dome.


A) The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)
B) The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)
C) The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)
D) The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)
E) The surface of the dome on a new museum is given by   and   is in meters. Find the surface area of the dome. A)    B)    C)    D)    E)

Correct Answer

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D

Find a vector-valued function whose graph is the part of the paraboloid Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)   that lies inside the cylinder Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)
B) Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)
C) Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)
D) Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)
E) Find a vector-valued function whose graph is the part of the paraboloid   that lies inside the cylinder   . A)    B)    C)    D)    E)

Correct Answer

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D

Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)   .


A) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)
B) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)
C) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)
D) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)
E) Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function   . A)    B)    C)    D)    E)

Correct Answer

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Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface. Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)


A) Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)
B) Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)
C) Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)
D) Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)
E) Find the rectangular equation for the surface by eliminating parameters from the vector-valued function. Identify the surface.   A)    B)    C)    D)    E)

Correct Answer

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Determine the tangent plane for the hyperboloid Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)   .


A) Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)
B) Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)
C) Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)
D) Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)
E) Determine the tangent plane for the hyperboloid   . A)    B)    C)    D)    E)

Correct Answer

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Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone, Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)   where Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)   .


A) Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)
B) Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)
C) Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)
D) Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)
E) Find the area of the surface over the given region. Use a computer algebra system to verify your results. The part of the cone,   where   . A)    B)    C)    D)    E)

Correct Answer

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Find a vector-valued function whose graph is the cylinder Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)
B) Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)
C) Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)
D) Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)
E) Find a vector-valued function whose graph is the cylinder   . A)    B)    C)    D)    E)

Correct Answer

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Find the area of the surface of revolution Find the area of the surface of revolution   . A)    B)    C)    D)    E)   .


A) Find the area of the surface of revolution   . A)    B)    C)    D)    E)
B) Find the area of the surface of revolution   . A)    B)    C)    D)    E)
C) Find the area of the surface of revolution   . A)    B)    C)    D)    E)
D) Find the area of the surface of revolution   . A)    B)    C)    D)    E)
E) Find the area of the surface of revolution   . A)    B)    C)    D)    E)

Correct Answer

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Find a vector-valued function whose graph is the plane Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)   .


A) Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)
B) Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)
C) Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)
D) Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)
E) Find a vector-valued function whose graph is the plane   . A)    B)    C)    D)    E)

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Match the following vector-valued function with its graph. Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)


A) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
B) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
C) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
D) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)
E) Match the following vector-valued function with its graph.   A)    B)    C)    D)    E)

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