Question 1

Find the curvature of the curve   .

Accepted Answer

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

Question 2

Find parametric equations for the line through   and

Accepted Answer

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

Question 3

Identify the planes that are perpendicular.

Accepted Answer

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

Question 4

Find   correct to three decimal places where   ,   ,   .

Accepted Answer

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

Question 5

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS.

Accepted Answer

The answer of Find the volume of the parallelepiped with...

Question 6

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)

Question 7

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 8

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and   units to the right of it.

Accepted Answer

The answer of Write an inequality to describe the half-space...

Find the curvature of the curve .

Find parametric equations for the line through and

Identify the planes that are perpendicular.

Find correct to three decimal places where , , .

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS.

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 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.

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and units to the right of it.

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: Vectors and the Geometry of Space

Find the curvature of the curve .

Find parametric equations for the line through and

Identify the planes that are perpendicular.

Find correct to three decimal places where , , .

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS.

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 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.

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and units to the right of it.

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