Question 1

Find the acceleration of a particle with the following position function.

Accepted Answer

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

Question 2

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)    C

Question 3

A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of   
a.Find the range of the projectile.
b.What is the maximum height attained by the projectile?
c.What is the speed of the projectile at impact?
Round your answers to the nearest integer.

Accepted Answer

a.32,747 ft,
b.14,180 ft,
c.1100 ft/sec

Question 4

Find the distance between the point (9,9,3) and the plane   Round your answer to two decimal place.

Accepted Answer

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

Question 5

Find the curvature of the curve   .

Accepted Answer

A)  0 
B)  1 
C)  11 
D)    
A)  0 
B)  1 
C)  11 
D)

Question 6

A ball is thrown at an angle of   to the ground.If the ball lands 30 m away,what was the initial speed of the ball? Let   .

Accepted Answer

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

Question 7

Which of the given lines is parallel to the line

Accepted Answer

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

Question 8

Find the length of the curve

Accepted Answer

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

Question 9

Find the velocity and position vectors of an object with acceleration   initial velocity   and initial position

Accepted Answer

The answer of Find the velocity and position vectors of...

Question 10

Identify the planes that are perpendicular.

Accepted Answer

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

Question 11

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

Accepted Answer

The answer of Find the scalar tangential and normal components...

Question 12

Find   .

Accepted Answer

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

Question 13

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 14

Find a nonzero vector orthogonal to the plane through the points P,Q,and R.

Accepted Answer

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

Question 15

Find the magnitude of the torque about P correct to two decimal places if a d-lb force is applied as shown.

Accepted Answer

The answer of Find the magnitude of the torque about...

Question 16

Find the acceleration of a particle with the given position function.

Accepted Answer

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

Question 17

Find the center and the radius of the sphere that has the given equation.   +   +   - 6x + 4y = 0

Accepted Answer

A)  ( -3,2,0),13 
B)  ( 3,-2,0),   
C)  ( 3,-2,0),13 
D)  ( -3,2,0),   
A)  ( -3,2,0),13 
B)  ( 3,-2,0),   
C)  ( 3,-2,0),13 
D)  ( -3,2,0),

Question 18

The position function of a particle is given by   When is the speed a minimum?

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Find the derivative of the vector function.

Accepted Answer

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

Find the acceleration of a particle with the following position function.

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.

A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of a.Find the range of the projectile. b.What is the maximum height attained by the projectile? c.What is the speed of the projectile at impact? Round your answers to the nearest integer.

Find the distance between the point (9,9,3) and the plane Round your answer to two decimal place.

Find the curvature of the curve .

A ball is thrown at an angle of to the ground.If the ball lands 30 m away,what was the initial speed of the ball? Let .

Which of the given lines is parallel to the line

Find the length of the curve

Find the velocity and position vectors of an object with acceleration initial velocity and initial position

Identify the planes that are perpendicular.

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

Find .

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.

Find a nonzero vector orthogonal to the plane through the points P,Q,and R.

Find the magnitude of the torque about P correct to two decimal places if a d-lb force is applied as shown.

Find the acceleration of a particle with the given position function.

Find the center and the radius of the sphere that has the given equation. + + - 6x + 4y = 0

The position function of a particle is given by When is the speed a minimum?

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

Find the derivative of the vector function.

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

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Exam 10: Ectors and the Geometry of Space

Find the acceleration of a particle with the following position function.

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.

A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of a.Find the range of the projectile. b.What is the maximum height attained by the projectile? c.What is the speed of the projectile at impact? Round your answers to the nearest integer.

Find the distance between the point (9,9,3) and the plane Round your answer to two decimal place.

Find the curvature of the curve .

A ball is thrown at an angle of to the ground.If the ball lands 30 m away,what was the initial speed of the ball? Let .

Which of the given lines is parallel to the line

Find the length of the curve

Find the velocity and position vectors of an object with acceleration initial velocity and initial position

Identify the planes that are perpendicular.

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

Find .

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.

Find a nonzero vector orthogonal to the plane through the points P,Q,and R.

Find the magnitude of the torque about P correct to two decimal places if a d-lb force is applied as shown.

Find the acceleration of a particle with the given position function.

Find the center and the radius of the sphere that has the given equation. + + - 6x + 4y = 0

The position function of a particle is given by When is the speed a minimum?

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

Find the derivative of the vector function.

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