Question 1

Select the correct Answer for each question.
-A swimming pool is circular with a  diameter.The depth is constant along east-west lines and increases linearly from  ft at the south end to  ft at the north end.Find the volume of water in the pool.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Select the correct Answer for each question.
-Evaluate the iterated integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Calculate the iterated integral.

Accepted Answer

The answer of Calculate the iterated integral. ...

Question 4

Find the area of the surface.The part of the surface  that lies above the xy-plane.

Accepted Answer

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

Question 5

Use cylindrical coordinates to evaluate

Accepted Answer

The answer of Use cylindrical coordinates to evaluate ...

Question 6

Use the transformation  to evaluate the integral  where R is the region bounded by the ellipse

Accepted Answer

The answer of Use the transformation  to evaluate the...

Question 7

Sketch the solid whose volume is given by the iterated integral

Accepted Answer

The answer of Sketch the solid whose volume is given...

Question 8

Use cylindrical coordinates to evaluate the triple integral  where E is the solid that lies between the cylinders  above the xy-plane and below the plane

Accepted Answer

The answer of Use cylindrical coordinates to evaluate the triple...

Question 9

Evaluate the iterated integral.Select the correct Answer

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Select the correct Answer for each question.
-Calculate the double integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Select the correct Answer for each question.
-Evaluate the iterated integral by converting to polar coordinates.Round theAnswer to two decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Find the mass of the lamina that occupies the region  and has the given density function.Round yourAnswer to two decimal places.

Accepted Answer

The answer of Find the mass of the lamina that...

Question 13

Sketch the solid bounded by the graphs of the equations  and  and then use a triple integral to find the volume of the solid.

Accepted Answer

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

Question 14

Select the correct Answer for each question.
-Use cylindrical coordinates to evaluate the triple integral  where E is the solid that lies between the cylinders  above the xy-plane and below the plane

Accepted Answer

A) 8.57 
B) 0 
C) 3.4 
D) 9.19 
E) 0.54

Question 15

Find the center of mass of a homogeneous solid bounded by the paraboloid  and

Accepted Answer

The answer of Find the center of mass of a...

Question 16

An electric charge is spread over a rectangular region  Find the total charge on R if the charge density at a point  in R (measured in coulombs per square meter) is  Select the correct Answer

Accepted Answer

A) 804 coulombs 
B) 91 coulombs 
C) 300 coulombs 
D) 265 coulombs

Question 17

Find the Jacobian of the transformation.

Accepted Answer

The answer of Find the Jacobian of the transformation. ...

Question 18

Find the volume of the solid bounded by the surface  and the planes  and coordinate planes.Select the correct Answer

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Evaluate  and T is the region bounded by the paraboloid  nd the plane

Accepted Answer

The answer of Evaluate  and T is the region...

Question 20

Select the correct Answer for each question.
-Use the Midpoint Rule with four squares of equal size to estimate the double integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 15: Multiple Integrals

Select the correct Answer for each question. -A swimming pool is circular with a diameter.The depth is constant along east-west lines and increases linearly from ft at the south end to ft at the north end.Find the volume of water in the pool.

Select the correct Answer for each question. -Evaluate the iterated integral.

Calculate the iterated integral.

Find the area of the surface.The part of the surface that lies above the xy-plane.

Use cylindrical coordinates to evaluate

Use the transformation to evaluate the integral where R is the region bounded by the ellipse

Sketch the solid whose volume is given by the iterated integral

Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the cylinders above the xy-plane and below the plane

Evaluate the iterated integral.Select the correct Answer

Select the correct Answer for each question. -Calculate the double integral.

Select the correct Answer for each question. -Evaluate the iterated integral by converting to polar coordinates.Round theAnswer to two decimal places.

Find the mass of the lamina that occupies the region and has the given density function.Round yourAnswer to two decimal places.

Sketch the solid bounded by the graphs of the equations and and then use a triple integral to find the volume of the solid.

Select the correct Answer for each question. -Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the cylinders above the xy-plane and below the plane

Find the center of mass of a homogeneous solid bounded by the paraboloid and

An electric charge is spread over a rectangular region Find the total charge on R if the charge density at a point in R (measured in coulombs per square meter) is Select the correct Answer

Find the Jacobian of the transformation.

Find the volume of the solid bounded by the surface and the planes and coordinate planes.Select the correct Answer

Evaluate and T is the region bounded by the paraboloid nd the plane

Select the correct Answer for each question. -Use the Midpoint Rule with four squares of equal size to estimate the double integral.