Explore all topics
Start Free Trial
Need Help? Contact us
back arrowfull exam logo
search
ai logoChat with AI
Servicesarrow
Discoverarrow

Topics

Explore all topics
Discover more topics

Exam 14: Multiple Integration

arrow
Exam 1: Preparation for Calculus125 Questionsadd course
Exam 2: Limits and Their Properties85 Questionsadd course
Exam 3: Differentiation193 Questionsadd course
Exam 4: Applications of Differentiation154 Questionsadd course
Exam 5: Integration184 Questionsadd course
Exam 6: Differential Equations93 Questionsadd course
Exam 7: Applications of Integration119 Questionsadd course
Exam 8: Integration Techniques and Improper Integrals130 Questionsadd course
Exam 9: Infinite Series181 Questionsadd course
Exam 10: Conics, Parametric Equations, and Polar Coordinates114 Questionsadd course
Exam 11: Vectors and the Geometry of Space130 Questionsadd course
Exam 12: Vector-Valued Functions85 Questionsadd course
Exam 13: Functions of Several Variables173 Questionsadd course
Exam 14: Multiple Integration143 Questionsadd course
Exam 15: Vector Anal142 Questionsadd course
Select questions type
  • Essay
  • Multiple Choice
  • Short Answer
  • True False
  • Matching
  • Select Tags
search iconSearch Question
flashcardsStudy Flashcards
Select questions type
  • Essay
  • Multiple Choice
  • Short Answer
  • True False
  • Matching
  • Select Tags

Write a double integral that represents the surface area of Write a double integral that represents the surface area of over the region R: triangle with vertices . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places. ​ over the region R: triangle with vertices Write a double integral that represents the surface area of over the region R: triangle with vertices . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places. ​ . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places. ​

Free
(Multiple Choice)
4.9/5
(37)
Question 1
Correct Answer:
Verified

B

Evaluate the iterated integral Evaluate the iterated integral by switching the order of integration. Round your to three decimal places. ​ by switching the order of integration. Round your to three decimal places. ​

Free
(Multiple Choice)
4.8/5
(37)
Question 2
Correct Answer:
Verified

A

Find the mass of the lamina described by the inequalities Find the mass of the lamina described by the inequalities and , given that its density is . (Hint: Some of the integrals are simpler in polar coordinates.) and Find the mass of the lamina described by the inequalities and , given that its density is . (Hint: Some of the integrals are simpler in polar coordinates.) , given that its density is Find the mass of the lamina described by the inequalities and , given that its density is . (Hint: Some of the integrals are simpler in polar coordinates.) . (Hint: Some of the integrals are simpler in polar coordinates.)

Free
(Multiple Choice)
4.9/5
(36)
Question 3
Correct Answer:
Verified

A

Use a triple integral to find the volume of the solid bounded by the graphs of the equations Use a triple integral to find the volume of the solid bounded by the graphs of the equations . .

(Multiple Choice)
4.9/5
(36)
Question 4

Evaluate the double integral below. Evaluate the double integral below.

(Multiple Choice)
4.8/5
(30)
Question 5

Evaluate the iterated integral Evaluate the iterated integral . .

(Multiple Choice)
4.8/5
(41)
Question 6

Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations and in the first octant. and Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations and in the first octant. in the first octant.

(Multiple Choice)
4.7/5
(36)
Question 7

Find the mass of the triangular lamina with vertices Find the mass of the triangular lamina with vertices for the density . ​ for the density Find the mass of the triangular lamina with vertices for the density . ​ . ​

(Multiple Choice)
4.9/5
(34)
Question 8

Find the center of mass of the lamina bounded by the graphs of the equations Find the center of mass of the lamina bounded by the graphs of the equations for the density . ​ for the density Find the center of mass of the lamina bounded by the graphs of the equations for the density . ​ . ​

(Multiple Choice)
4.8/5
(28)
Question 9

Use a change of variables to find the volume of the solid region lying below the surface Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places. and above the plane region R: region bounded by the graphs of Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places. (Hint: Let Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the graphs of (Hint: Let .) Round your answer to two decimal places. .) Round your answer to two decimal places.

(Multiple Choice)
4.8/5
(32)
Question 10

Use cylindrical coordinates to find the volume of the solid inside both Use cylindrical coordinates to find the volume of the solid inside both and . ​ and Use cylindrical coordinates to find the volume of the solid inside both and . ​ . ​

(Multiple Choice)
4.7/5
(38)
Question 11

Evaluate the following iterated integral. Evaluate the following iterated integral.

(Multiple Choice)
4.8/5
(44)
Question 12

Use a double integral in polar coordinates to find the volume of the solid inside the hemisphere Use a double integral in polar coordinates to find the volume of the solid inside the hemisphere but outside the cylinder . but outside the cylinder Use a double integral in polar coordinates to find the volume of the solid inside the hemisphere but outside the cylinder . .

(Multiple Choice)
4.8/5
(31)
Question 13

Set up a triple integral that gives the moment of inertia about the Set up a triple integral that gives the moment of inertia about the -axis of the solid region Q of density given below. ​ ​ -axis of the solid region Q of density given below. ​ Set up a triple integral that gives the moment of inertia about the -axis of the solid region Q of density given below. ​ ​ ​

(Multiple Choice)
4.7/5
(37)
Question 14

Use a change of variables to find the volume of the solid region lying below the surface Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the square with vertices . and above the plane region R: region bounded by the square with vertices Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the square with vertices . .

(Multiple Choice)
4.8/5
(28)
Question 15

Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below. Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.

(Multiple Choice)
4.8/5
(40)
Question 16

Use a change of variables to find the volume of the solid region lying below the surface Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places. and above the plane region R: region bounded by the parallelogram with vertices Use a change of variables to find the volume of the solid region lying below the surface and above the plane region R: region bounded by the parallelogram with vertices . Round your answer to two decimal places. . Round your answer to two decimal places.

(Multiple Choice)
4.8/5
(32)
Question 17

Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.

(Multiple Choice)
4.9/5
(38)
Question 18

Use a double integral to find the volume of the indicated solid. Use a double integral to find the volume of the indicated solid.

(Multiple Choice)
4.8/5
(32)
Question 19

Use an iterated integral to find the area of the region shown in the figure below. Use an iterated integral to find the area of the region shown in the figure below.

(Multiple Choice)
4.9/5
(44)
Question 20
Showing 1 - 20 of 143
close modal

Filters

  • Essay(0)
  • Multiple Choice(0)
  • Short Answer(0)
  • True False(0)
  • Matching(0)