Question 1

Sketch the region enclosed by the curves   Find the area of the region correct to two decimal places.Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E)   
F)48.67 
A)    
B)    
C)    
D)    
E)   
F)48.67

Question 2

Find the volume of a pyramid with height and base an equilateral triangle with side     Select the correct Answer

Accepted Answer

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

Question 3

Sketch the region bounded by the graphs of the given equations and find the area of their region.

Accepted Answer

The answer of Sketch the region bounded by the graphs...

Question 4

A particle moves a distance of 190 ft along a straight line.As it moves, it is acted upon by a constant force of magnitude 15 lb in a direction opposite to that of the motion.What is the work done by the force?

Accepted Answer

The answer of A particle moves a distance of 190...

Question 5

Find the average value of the function on the given interval.

Accepted Answer

The answer of Find the average value of the function...

Question 6

Find the number b such that the line   divides the region bounded by the curves   and   into two regions with equal area.Select the correct Answer

Accepted Answer

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

Question 7

Select the correct Answer for each question.
-Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve.   The choices are rounded to the nearest hundredth.

Accepted Answer

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

Question 8

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Accepted Answer

The answer of Set up, but do not evaluate, an...

Question 9

Find the area of the shaded region.

Accepted Answer

The answer of Find the area of the shaded region....

Question 10

Sketch the region enclosed by   Find the area of the region.Select the correct Answer

Accepted Answer

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

Question 11

Select the correct Answer for each question.
-Use integration to find the area of the triangle with the given vertices.(0, 0), (1, 7), (4, 2)

Accepted Answer

A)    
B) 26 
C) 28 
D) 13 
A)    
B) 26 
C) 28 
D) 13

Question 12

Find the volume of the solid obtained by rotating the region bounded by   and   about the

Accepted Answer

The answer of Find the volume of the solid obtained...

Question 13

If   J of work are needed to stretch a spring from   cm to   cm and another   are needed to stretch it from   what is the natural length of the spring? Round theAnswer to nearest integer.

Accepted Answer

The answer of If   J of work are...

Question 14

Evaluate the integral.Select the correct Answer

Accepted Answer

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

Question 15

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Accepted Answer

The answer of Find the volume of the solid obtained...

Question 16

Select the correct Answer for each question.
-Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the

Accepted Answer

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

Question 17

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revolution (found using the shell method) is given by the integral.

Accepted Answer

The answer of Sketch a plane region and indicate the...

Question 18

Use a graphing utility to (a) plot the graphs of the given functions and (b) find the approximate   of the points of intersection of the graphs.Then find an approximation of the volume of the solid obtained by revolving the region bounded by the graphs of the functions about the   RoundAnswers to two decimal places.

Accepted Answer

The answer of Use a graphing utility to (a) plot...

Question 19

Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve.   The choices are rounded to the nearest hundredth.

Accepted Answer

The answer of Use the Midpoint Rule with n =...

Question 20

Sketch the region bounded by the graphs of the given equations and find the area of that region.

Accepted Answer

The answer of Sketch the region bounded by the graphs...

Sketch the region enclosed by the curves Find the area of the region correct to two decimal places.Select the correct Answer

Find the volume of a pyramid with height and base an equilateral triangle with side Select the correct Answer

Sketch the region bounded by the graphs of the given equations and find the area of their region.

A particle moves a distance of 190 ft along a straight line.As it moves, it is acted upon by a constant force of magnitude 15 lb in a direction opposite to that of the motion.What is the work done by the force?

Find the average value of the function on the given interval.

Find the number b such that the line divides the region bounded by the curves and into two regions with equal area.Select the correct Answer

Select the correct Answer for each question. -Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. The choices are rounded to the nearest hundredth.

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Find the area of the shaded region.

Sketch the region enclosed by Find the area of the region.Select the correct Answer

Select the correct Answer for each question. -Use integration to find the area of the triangle with the given vertices.(0, 0), (1, 7), (4, 2)

Find the volume of the solid obtained by rotating the region bounded by and about the

If J of work are needed to stretch a spring from cm to cm and another are needed to stretch it from what is the natural length of the spring? Round theAnswer to nearest integer.

Evaluate the integral.Select the correct Answer

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Select the correct Answer for each question. -Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revolution (found using the shell method) is given by the integral.

Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. The choices are rounded to the nearest hundredth.

Sketch the region bounded by the graphs of the given equations and find the area of that region.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 6: Applications of Integration

Sketch the region enclosed by the curves Find the area of the region correct to two decimal places.Select the correct Answer

Find the volume of a pyramid with height and base an equilateral triangle with side Select the correct Answer

Sketch the region bounded by the graphs of the given equations and find the area of their region.

A particle moves a distance of 190 ft along a straight line.As it moves, it is acted upon by a constant force of magnitude 15 lb in a direction opposite to that of the motion.What is the work done by the force?

Find the average value of the function on the given interval.

Find the number b such that the line divides the region bounded by the curves and into two regions with equal area.Select the correct Answer

Select the correct Answer for each question. -Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. The choices are rounded to the nearest hundredth.

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Find the area of the shaded region.

Sketch the region enclosed by Find the area of the region.Select the correct Answer

Select the correct Answer for each question. -Use integration to find the area of the triangle with the given vertices.(0, 0), (1, 7), (4, 2)

Find the volume of the solid obtained by rotating the region bounded by and about the

If J of work are needed to stretch a spring from cm to cm and another are needed to stretch it from what is the natural length of the spring? Round theAnswer to nearest integer.

Evaluate the integral.Select the correct Answer

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

Select the correct Answer for each question. -Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the

Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revolution (found using the shell method) is given by the integral.

Use the Midpoint Rule with n = 4 to estimate the volume obtained by rotating about the region under the y-axis the region under the curve. The choices are rounded to the nearest hundredth.

Sketch the region bounded by the graphs of the given equations and find the area of that region.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters