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

Suppose the Cobb-Douglas production function for an automobile manufacturer is Suppose the Cobb-Douglas production function for an automobile manufacturer is where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 200 and 275 and the number of units of capital y varies between 300 and 375. Round your answer to two decimal places. ​ where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 200 and 275 and the number of units of capital y varies between 300 and 375. Round your answer to two decimal places. ​

(Multiple Choice)
4.9/5
(34)
Question 41

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

(Multiple Choice)
4.8/5
(40)
Question 42

Consider the region R in the xy-plane bounded by the ellipse Consider the region R in the xy-plane bounded by the ellipse and the transformation and . Find the area of the ellipse. Round your answer to two decimal places. and the transformation Consider the region R in the xy-plane bounded by the ellipse and the transformation and . Find the area of the ellipse. Round your answer to two decimal places. and Consider the region R in the xy-plane bounded by the ellipse and the transformation and . Find the area of the ellipse. Round your answer to two decimal places. . Find the area of the ellipse. Round your answer to two decimal places.

(Multiple Choice)
4.8/5
(40)
Question 43

Use an iterated integral to find the area of the region bounded by Use an iterated integral to find the area of the region bounded by . .

(Multiple Choice)
4.8/5
(41)
Question 44

Set up a double integral that gives the area of the surface on the graph of Set up a double integral that gives the area of the surface on the graph of over the region . over the region Set up a double integral that gives the area of the surface on the graph of over the region . .

(Multiple Choice)
4.8/5
(30)
Question 45

Use a double integral to find the volume of the indicated solid. ​ 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
(37)
Question 46

Find the area of the portion of the surface Find the area of the portion of the surface that lies above the region . ​ that lies above the region Find the area of the portion of the surface that lies above the region . ​ . ​

(Multiple Choice)
4.9/5
(38)
Question 47

Use a double integral to find the area of the shaded region as shown in the figure below. Use a double integral to find the area of the shaded region as shown in the figure below.

(Multiple Choice)
4.8/5
(39)
Question 48

Set up a triple integral for the volume of the solid bounded by Set up a triple integral for the volume of the solid bounded by and . ​ and Set up a triple integral for the volume of the solid bounded by and . ​ . ​

(Multiple Choice)
4.8/5
(27)
Question 49

Use polar coordinates to describe the region as shown in the figure below: Use polar coordinates to describe the region as shown in the figure below:

(Multiple Choice)
4.9/5
(26)
Question 50

Use a double integral to find the volume of the indicated solid. ​ 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)
4.9/5
(39)
Question 51

Find the Jacobian Find the Jacobian for the following change of variables: ​ , ​ for the following change of variables: ​ Find the Jacobian for the following change of variables: ​ , ​ , Find the Jacobian for the following change of variables: ​ , ​ ​

(Multiple Choice)
4.9/5
(28)
Question 52

Sketch the solid whose volume is given by the iterated integral given below and use the sketch to rewrite the integral using the indicated order of integration. Sketch the solid whose volume is given by the iterated integral given below and use the sketch to rewrite the integral using the indicated order of integration. Rewrite the integral using the order . Rewrite the integral using the order Sketch the solid whose volume is given by the iterated integral given below and use the sketch to rewrite the integral using the indicated order of integration. Rewrite the integral using the order . .

(Multiple Choice)
4.7/5
(34)
Question 53

Find the area of the surface given by Find the area of the surface given by over the region R. ​ ​ R: square with vertices ​ over the region R. ​ Find the area of the surface given by over the region R. ​ ​ R: square with vertices ​ ​ R: square with vertices Find the area of the surface given by over the region R. ​ ​ R: square with vertices ​ ​

(Multiple Choice)
4.9/5
(28)
Question 54

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

(Multiple Choice)
4.9/5
(27)
Question 55

Evaluate the following integral. Evaluate the following integral.

(Multiple Choice)
4.8/5
(40)
Question 56

Use cylindrical coordinates to find the volume of the solid bounded above by Use cylindrical coordinates to find the volume of the solid bounded above by and below by . and below by Use cylindrical coordinates to find the volume of the solid bounded above by and below by . .

(Multiple Choice)
4.8/5
(41)
Question 57

Set up a double integral that gives the area of the surface of the graph of f over the region R. Set up a double integral that gives the area of the surface of the graph of f over the region R. Set up a double integral that gives the area of the surface of the graph of f over the region R.

(Multiple Choice)
4.8/5
(40)
Question 58

Find the Jacobian Find the Jacobian for the following change of variables: , for the following change of variables: Find the Jacobian for the following change of variables: , , Find the Jacobian for the following change of variables: ,

(Multiple Choice)
4.8/5
(34)
Question 59

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

(Multiple Choice)
4.8/5
(35)
Question 60
Showing 41 - 60 of 143
close modal

Filters

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