Question 1

Find parametric equations for the line through   and

Accepted Answer

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

Question 2

Find the cross product   .

Accepted Answer

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

Question 3

Find the velocity,acceleration,and speed of an object with position function   for t = 1. Sketch the path of the object and its velocity and acceleration vectors.

Accepted Answer

The answer of Find the velocity,acceleration,and speed of an object...

Question 4

The tension T at each end of the chain has magnitude 27 N and makes an angle   with the horizontal.What is the weight of the chain? Round the result to the nearest hundredth.

Accepted Answer

The answer of The tension T at each end of...

Question 5

Find the curvature of   .

Accepted Answer

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

Question 6

Let   . Find the domain of   .

Accepted Answer

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

Question 7

Find the equation of the line through   and perpendicular to the plane

Accepted Answer

The answer of Find the equation of the line through...

Question 8

Reparametrize the curve with respect to arc length measured from the point where t = 0. in the direction of increasing t.

Accepted Answer

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

Question 9

Find an equation of the plane with x-intercept = 11 ,y-intercept = 5 and z-intercept = 5.

Accepted Answer

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

Question 10

A force with magnitude 12 N acts directly upward from the xy-plane on an object with mass 2 kg.The object starts at the origin with initial velocity   .Find its position function.

Accepted Answer

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

Question 11

Find   .

Accepted Answer

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

Question 12

Find   correct to three decimal places where   ,   ,   .

Accepted Answer

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

Question 13

Find the velocity of a particle that has the given acceleration and the given initial velocity.

Accepted Answer

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

Question 14

Find the curvature of the curve   .

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Find   .

Accepted Answer

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

Question 17

Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7

Accepted Answer

A)  (x - 3)2 + (y + 5)2 + (z - 3)2 = 7 
B)  (x + 3)2 + (y - 5)2 + (z + 3)2 = 49 
C)  (x - 3)2 + (y + 5)2 + (z - 3)2 = 49 
D)  (x + 3)2 + (y - 5)2 + (z + 3)2 = 7 
A)  (x - 3)2 + (y + 5)2 + (z - 3)2 = 7 
B)  (x + 3)2 + (y - 5)2 + (z + 3)2 = 49 
C)  (x - 3)2 + (y + 5)2 + (z - 3)2 = 49 
D)  (x + 3)2 + (y - 5)2 + (z + 3)2 = 7

Question 18

Classify the surface.

Accepted Answer

A)  A cone with axis parallel to the z-axis and vertex   . 
B)  A circular paraboloid with vertex   and axis the z-axis. 
C)  A hyperboloid of one sheet with center   and axis parallel to the z-axis. 
A)  A cone with axis parallel to the z-axis and vertex   . 
B)  A circular paraboloid with vertex   and axis the z-axis. 
C)  A hyperboloid of one sheet with center   and axis parallel to the z-axis.

Question 19

Find the scalar tangential and normal components of acceleration of a particle with position vector

Accepted Answer

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

Question 20

Find the velocity,acceleration,and speed of an object with position function   for   Sketch the path of the object and its velocity and acceleration vectors.

Accepted Answer

The answer of Find the velocity,acceleration,and speed of an object...

Find parametric equations for the line through and

Find the cross product .

Find the velocity,acceleration,and speed of an object with position function for t = 1. Sketch the path of the object and its velocity and acceleration vectors.

The tension T at each end of the chain has magnitude 27 N and makes an angle with the horizontal.What is the weight of the chain? Round the result to the nearest hundredth.

Find the curvature of .

Let . Find the domain of .

Find the equation of the line through and perpendicular to the plane

Reparametrize the curve with respect to arc length measured from the point where t = 0. in the direction of increasing t.

Find an equation of the plane with x-intercept = 11 ,y-intercept = 5 and z-intercept = 5.

A force with magnitude 12 N acts directly upward from the xy-plane on an object with mass 2 kg.The object starts at the origin with initial velocity .Find its position function.

Find .

Find correct to three decimal places where , , .

Find the velocity of a particle that has the given acceleration and the given initial velocity.

Find the curvature of the curve .

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

Find .

Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7

Classify the surface.

Find the scalar tangential and normal components of acceleration of a particle with position vector

Find the velocity,acceleration,and speed of an object with position function for Sketch the path of the object and its velocity and acceleration vectors.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters

Exam 10: Ectors and the Geometry of Space

Find parametric equations for the line through and

Find the cross product .

Find the velocity,acceleration,and speed of an object with position function for t = 1. Sketch the path of the object and its velocity and acceleration vectors.

The tension T at each end of the chain has magnitude 27 N and makes an angle with the horizontal.What is the weight of the chain? Round the result to the nearest hundredth.

Find the curvature of .

Let . Find the domain of .

Find the equation of the line through and perpendicular to the plane

Reparametrize the curve with respect to arc length measured from the point where t = 0. in the direction of increasing t.

Find an equation of the plane with x-intercept = 11 ,y-intercept = 5 and z-intercept = 5.

A force with magnitude 12 N acts directly upward from the xy-plane on an object with mass 2 kg.The object starts at the origin with initial velocity .Find its position function.

Find .

Find correct to three decimal places where , , .

Find the velocity of a particle that has the given acceleration and the given initial velocity.

Find the curvature of the curve .

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

Find .

Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7

Classify the surface.

Find the scalar tangential and normal components of acceleration of a particle with position vector

Find the velocity,acceleration,and speed of an object with position function for Sketch the path of the object and its velocity and acceleration vectors.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters