Question 1

Write an integral giving the area of the surface obtained by revolving the curve about the x-axis.(Do not evaluate the integral.)

Accepted Answer

The answer of Write an integral giving the area of...

Question 2

Find the length of the curve.Select the correct Answer

Accepted Answer

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

Question 3

Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments.

Accepted Answer

The answer of Find the centroid of the region shown,...

Question 4

Select the correct Answer: for each question.
-Find the centroid of the region bounded by the graphs of the given equations.

Accepted Answer

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

Question 5

Select the correct Answer for each question.
-The marginal revenue from producing x units of a certain product is   Find the increase in revenue if the production level is raised from 1,100 units to   units.

Accepted Answer

A) $37,974,583 
B) $26,866,667 
C) $17,765,250 
D)    
E) $51,367,000 
A) $37,974,583 
B) $26,866,667 
C) $17,765,250 
D)    
E) $51,367,000

Question 6

Find the exact coordinates of the centroid.

Accepted Answer

The answer of Find the exact coordinates of the centroid....

Question 7

If the infinite curve   is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

Accepted Answer

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

Question 8

Set up, but do not evaluate, an integral for the length of the curve.

Accepted Answer

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

Question 9

You are given the shape of the vertical ends of a trough that is completely filled with water.Find the force exerted by the water on one end of the trough.(The weight density of water is   Select the correct Answer

Accepted Answer

A) 5,200 lb 
B) 1,040 lb 
C) 520 lb 
D) 2,600 lb 
A) 5,200 lb 
B) 1,040 lb 
C) 520 lb 
D) 2,600 lb

Question 10

Select the correct Answer: for each question.
-Use Simpson's Rule with   o estimate the length of the curve   Round yourAnswer to six decimal places.

Accepted Answer

A) 6.987208 
B) 6.947368 
C) 6.972089 
D) 6.947582 
E) None of these 
A) 6.987208 
B) 6.947368 
C) 6.972089 
D) 6.947582 
E) None of these

Question 11

Select the correct Answer for each question.
-Set up, but do not evaluate, an integral for the length of the curve.

Accepted Answer

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

Question 12

Find the centroid of the region bounded by the given curves.Select the correct Answer

Accepted Answer

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

Question 13

A large tank is designed with ends in the shape of the region between the curves   measured in feet.Find the hydrostatic force on one end of the tank if it is filled to a depth of   ft with gasoline.(Assume that the density of the gasoline is

Accepted Answer

The answer of A large tank is designed with ends...

Question 14

For the following exercise, (a) plot the graph of the function   (b) write an integral giving the arc length of the graph of the function over the indicated interval, and (c) find the arc length of the curve accurate to two decimal places.

Accepted Answer

The answer of For the following exercise, (a) plot the...

Question 15

Find the length of the curve.Select the correct Answer

Accepted Answer

A)    
B) 25.05 
C) 13.05 
D) 36.05 
E) None of these 
A)    
B) 25.05 
C) 13.05 
D) 36.05 
E) None of these

Question 16

Find the area of the surface obtained by rotating the curve about the y-axis.

Accepted Answer

The answer of Find the area of the surface obtained...

Question 17

Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis.   y-axis

Accepted Answer

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

Question 18

Suppose the average waiting time for a customer's call to beAnswered by a company representative (modeled by exponentially decreasing probability density functions) is   minutes.Find the median waiting time.

Accepted Answer

The answer of Suppose the average waiting time for a...

Question 19

If the infinite curve   is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

Accepted Answer

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

Question 20

A demand curve is given by   Find the consumer surplus when the selling price is

Accepted Answer

The answer of A demand curve is given by ...

Write an integral giving the area of the surface obtained by revolving the curve about the x-axis.(Do not evaluate the integral.)

Find the length of the curve.Select the correct Answer

Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments.

Select the correct Answer: for each question. -Find the centroid of the region bounded by the graphs of the given equations.

Select the correct Answer for each question. -The marginal revenue from producing x units of a certain product is Find the increase in revenue if the production level is raised from 1,100 units to units.

Find the exact coordinates of the centroid.

If the infinite curve is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

Set up, but do not evaluate, an integral for the length of the curve.

You are given the shape of the vertical ends of a trough that is completely filled with water.Find the force exerted by the water on one end of the trough.(The weight density of water is Select the correct Answer

Select the correct Answer: for each question. -Use Simpson's Rule with o estimate the length of the curve Round yourAnswer to six decimal places.

Select the correct Answer for each question. -Set up, but do not evaluate, an integral for the length of the curve.

Find the centroid of the region bounded by the given curves.Select the correct Answer

A large tank is designed with ends in the shape of the region between the curves measured in feet.Find the hydrostatic force on one end of the tank if it is filled to a depth of ft with gasoline.(Assume that the density of the gasoline is

For the following exercise, (a) plot the graph of the function (b) write an integral giving the arc length of the graph of the function over the indicated interval, and (c) find the arc length of the curve accurate to two decimal places.

Find the length of the curve.Select the correct Answer

Find the area of the surface obtained by rotating the curve about the y-axis.

Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis. y-axis

Suppose the average waiting time for a customer's call to beAnswered by a company representative (modeled by exponentially decreasing probability density functions) is minutes.Find the median waiting time.

If the infinite curve is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

A demand curve is given by Find the consumer surplus when the selling price is

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques 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

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Exam 8: Further Applications of Integration

Write an integral giving the area of the surface obtained by revolving the curve about the x-axis.(Do not evaluate the integral.)

Find the length of the curve.Select the correct Answer

Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments.

Select the correct Answer: for each question. -Find the centroid of the region bounded by the graphs of the given equations.

Select the correct Answer for each question. -The marginal revenue from producing x units of a certain product is Find the increase in revenue if the production level is raised from 1,100 units to units.

Find the exact coordinates of the centroid.

If the infinite curve is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

Set up, but do not evaluate, an integral for the length of the curve.

You are given the shape of the vertical ends of a trough that is completely filled with water.Find the force exerted by the water on one end of the trough.(The weight density of water is Select the correct Answer

Select the correct Answer: for each question. -Use Simpson's Rule with o estimate the length of the curve Round yourAnswer to six decimal places.

Select the correct Answer for each question. -Set up, but do not evaluate, an integral for the length of the curve.

Find the centroid of the region bounded by the given curves.Select the correct Answer

A large tank is designed with ends in the shape of the region between the curves measured in feet.Find the hydrostatic force on one end of the tank if it is filled to a depth of ft with gasoline.(Assume that the density of the gasoline is

For the following exercise, (a) plot the graph of the function (b) write an integral giving the arc length of the graph of the function over the indicated interval, and (c) find the arc length of the curve accurate to two decimal places.

Find the length of the curve.Select the correct Answer

Find the area of the surface obtained by rotating the curve about the y-axis.

Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis. y-axis

Suppose the average waiting time for a customer's call to beAnswered by a company representative (modeled by exponentially decreasing probability density functions) is minutes.Find the median waiting time.

If the infinite curve is rotated about the x-axis , find the area of the resulting surface.Select the correct Answer

A demand curve is given by Find the consumer surplus when the selling price is

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques 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