Deck 10: Extension F: Vector Functions
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ملء الشاشة (f)
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)
B)
C)
D)
E)
times the distance from P to the yz-plane.A)

B)

C)

D)

E)


2
Classify the surface. 
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) 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 

3
Find an equation for the surface consisting of all points that are equidistant from the point
and the plane 
A)
B)
C)
D)
E)
and the plane 
A)

B)

C)

D)

E)


4
Reduce the equation to one of the standard forms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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