Question 1

Find an equation of the sphere that passes through the point   and has center

Accepted Answer

The answer of Find an equation of the sphere that...

Question 2

Select the correct Answer for each question.
-Let   and let u be a vector with length   that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    C

Question 3

Find an equation of the plane with x-intercept   y-intercept   and z-intercept

Accepted Answer

The answer of Find an equation of the plane with...

Question 4

Find the work done by a force   that moves an object from the point   to the point   along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Find the point at which the line given by the parametric equations below intersects the plane.   Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Find an equation of the plane through the origin and parallel to the plane

Accepted Answer

The answer of Find an equation of the plane through...

Question 7

Find an equation for the surface obtained by rotating the line   about the x-axis.

Accepted Answer

The answer of Find an equation for the surface obtained...

Question 8

Find the unit vectors that are parallel to the tangent line to the curve   at the point

Accepted Answer

The answer of Find the unit vectors that are parallel...

Question 9

Select the correct Answer for each question.
-Find the distance from   to the xy-planes.

Accepted Answer

A) 8 
B) 16 
C) 10 
D) 2 
E) 4 
A) 8 
B) 16 
C) 10 
D) 2 
E) 4

Question 10

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is   long.Find the magnitude of the torque about P correct to two decimal places.

Accepted Answer

The answer of A bicycle pedal is pushed by a...

Question 11

Write inequalities to describe the solid upper hemisphere of the sphere of radius   centered at the origin.

Accepted Answer

The answer of Write inequalities to describe the solid upper...

Question 12

Find parametric equations for the line through   and parallel to the vector

Accepted Answer

The answer of Find parametric equations for the line through...

Question 13

Find an equation of the sphere that passes through the point   and has center   b.Find the curve in which this sphere intersects the

Accepted Answer

The answer of Find an equation of the sphere that...

Question 14

Select the correct Answer: for each question.
-Find the work done by a force   that moves an object from the point   to the point   along a straight line.The distance is measured in meters and the force in newtons.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Select the correct Answer: for each question.
-Find the standard equation of the sphere with center C and radius r.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Select the correct Answer for each question.
-Find an equation of the set of all points equidistant from the points   and

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Find an equation for the surface obtained by rotating the parabola   about the y-axis.

Accepted Answer

The answer of Find an equation for the surface obtained...

Question 18

Select the correct Answer for each question.
-Find, correct to the nearest degree, the angle between the planes.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 19

Find an equation for the surface obtained by rotating the line   about the x-axis.

Accepted Answer

The answer of Find an equation for the surface obtained...

Question 20

Find an equation of the sphere with center that touches the xy-plane.

Accepted Answer

The answer of Find an equation of the sphere with...

Find an equation of the sphere that passes through the point and has center

Select the correct Answer for each question. -Let and let u be a vector with length that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector

Find an equation of the plane with x-intercept y-intercept and z-intercept

Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer

Find the point at which the line given by the parametric equations below intersects the plane. Select the correct Answer

Find an equation of the plane through the origin and parallel to the plane

Find an equation for the surface obtained by rotating the line about the x-axis.

Find the unit vectors that are parallel to the tangent line to the curve at the point

Select the correct Answer for each question. -Find the distance from to the xy-planes.

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is long.Find the magnitude of the torque about P correct to two decimal places.

Write inequalities to describe the solid upper hemisphere of the sphere of radius centered at the origin.

Find parametric equations for the line through and parallel to the vector

Find an equation of the sphere that passes through the point and has center b.Find the curve in which this sphere intersects the

Select the correct Answer: for each question. -Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.

Select the correct Answer: for each question. -Find the standard equation of the sphere with center C and radius r.

Select the correct Answer for each question. -Find an equation of the set of all points equidistant from the points and

Find an equation for the surface obtained by rotating the parabola about the y-axis.

Select the correct Answer for each question. -Find, correct to the nearest degree, the angle between the planes.

Find an equation for the surface obtained by rotating the line about the x-axis.

Find an equation of the sphere with center that touches the xy-plane.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

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Exam 12: Vectors and the Geometry of Space

Find an equation of the sphere that passes through the point and has center

Select the correct Answer for each question. -Let and let u be a vector with length that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector

Find an equation of the plane with x-intercept y-intercept and z-intercept

Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer

Find the point at which the line given by the parametric equations below intersects the plane. Select the correct Answer

Find an equation of the plane through the origin and parallel to the plane

Find an equation for the surface obtained by rotating the line about the x-axis.

Find the unit vectors that are parallel to the tangent line to the curve at the point

Select the correct Answer for each question. -Find the distance from to the xy-planes.

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is long.Find the magnitude of the torque about P correct to two decimal places.

Write inequalities to describe the solid upper hemisphere of the sphere of radius centered at the origin.

Find parametric equations for the line through and parallel to the vector

Find an equation of the sphere that passes through the point and has center b.Find the curve in which this sphere intersects the

Select the correct Answer: for each question. -Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.

Select the correct Answer: for each question. -Find the standard equation of the sphere with center C and radius r.

Select the correct Answer for each question. -Find an equation of the set of all points equidistant from the points and

Find an equation for the surface obtained by rotating the parabola about the y-axis.

Select the correct Answer for each question. -Find, correct to the nearest degree, the angle between the planes.

Find an equation for the surface obtained by rotating the line about the x-axis.

Find an equation of the sphere with center that touches the xy-plane.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters