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Deck 10: Extension F: Vector Functions

Question

Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.

A)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E) <div style=padding-top: 35px>

B)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E) <div style=padding-top: 35px>

C)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E) <div style=padding-top: 35px>

D)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E) <div style=padding-top: 35px>

E)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E) <div style=padding-top: 35px>

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Question

Classify the surface.

A) A circular paraboloid with vertex

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex <div style=padding-top: 35px>

and axis the z-axis.
B) A hyperboloid of one sheet with center

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex <div style=padding-top: 35px>

and axis parallel to the z-axis.
C) A cone with axis parallel to the z-axis and vertex

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex <div style=padding-top: 35px>

Question

Find an equation for the surface consisting of all points that are equidistant from the point and the plane

A)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E) <div style=padding-top: 35px>

B)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E) <div style=padding-top: 35px>

C)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E) <div style=padding-top: 35px>

D)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E) <div style=padding-top: 35px>

E)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E) <div style=padding-top: 35px>

Question

Reduce the equation to one of the standard forms.

A)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E) <div style=padding-top: 35px>

B)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E) <div style=padding-top: 35px>

C)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E) <div style=padding-top: 35px>

D)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E) <div style=padding-top: 35px>

E)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E) <div style=padding-top: 35px>

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1/4

Deck 10: Extension F: Vector Functions

1

Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.

A)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E)

B)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E)

C)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E)

D)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E)

E)

<strong>Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is times the distance from P to the yz-plane.</strong> A) B) C) D) E)

2

Classify the surface.

A) A circular paraboloid with vertex

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex

and axis the z-axis.
B) A hyperboloid of one sheet with center

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex

and axis parallel to the z-axis.
C) A cone with axis parallel to the z-axis and vertex

<strong>Classify the surface. </strong> A) A circular paraboloid with vertex and axis the z-axis. B) A hyperboloid of one sheet with center and axis parallel to the z-axis. C) A cone with axis parallel to the z-axis and vertex

A cone with axis parallel to the z-axis and vertex

A cone with axis parallel to the z-axis and vertex

3

Find an equation for the surface consisting of all points that are equidistant from the point and the plane

A)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E)

B)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E)

C)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E)

D)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E)

E)

<strong>Find an equation for the surface consisting of all points that are equidistant from the point and the plane </strong> A) B) C) D) E)

4

Reduce the equation to one of the standard forms.

A)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E)

B)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E)

C)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E)

D)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E)

E)

<strong>Reduce the equation to one of the standard forms. </strong> A) B) C) D) E)

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