Question 1

Use a double integral to find the area of the region R where R is bounded by the circle

Accepted Answer

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Question 2

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

Accepted Answer

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Question 3

Calculate the double integral.Select the correct Answer

Accepted Answer

1741.0

Question 4

Use polar coordinates to find the volume of the solid under the paraboloid  and above the disk

Accepted Answer

The answer of Use polar coordinates to find the volume...

Question 5

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

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Question 6

Find the area of the surface.Round yourAnswer to three decimal places.

Accepted Answer

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Question 7

Find the mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola  and the line   Select the correct Answer

Accepted Answer

1747.0

Question 8

Calculate the iterated integral.

Accepted Answer

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Question 9

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

1745.0

Question 10

Use cylindrical coordinates to evaluate

Accepted Answer

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Question 11

Find the area of the part of the sphere  that lies inside the paraboloid

Accepted Answer

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Question 12

Find the Jacobian of the transformation.

Accepted Answer

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Question 13

Evaluate the integral  and  with respect to  n that order.Select the correct Answer

Accepted Answer

1752.0

Question 14

Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius  and density 1 about a diameter of its base.Select the correct Answer

Accepted Answer

1756.0

Question 15

Find the area of the part of hyperbolic paraboloid  that lies between the cylinders  and

Accepted Answer

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Question 16

Use the given transformation to evaluate the integral.  where R is the region in the first quadrant bounded by the lines  and the hyperbolas

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Question 17

Use polar coordinates to find the volume of the solid bounded by the paraboloid  and the plane

Accepted Answer

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Question 18

Find the mass of the solid S bounded by the paraboloid  and the plane  if S has constant density 3.Select the correct Answer

Accepted Answer

1753.0

Question 19

Evaluate the iterated integral.Select the correct Answer

Accepted Answer

1760.0

Question 20

Find the center of mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola  and the x-axis.

Accepted Answer

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Quiz 15: Multiple Integrals

Use a double integral to find the area of the region R where R is bounded by the circle

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

Calculate the double integral.Select the correct Answer

Use polar coordinates to find the volume of the solid under the paraboloid and above the disk

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 area of the surface.Round yourAnswer to three decimal places.

Find the mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola and the line Select the correct Answer

Calculate the iterated integral.

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

Use cylindrical coordinates to evaluate

Find the area of the part of the sphere that lies inside the paraboloid

Find the Jacobian of the transformation.

Evaluate the integral and with respect to n that order.Select the correct Answer

Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius and density 1 about a diameter of its base.Select the correct Answer

Find the area of the part of hyperbolic paraboloid that lies between the cylinders and

Use the given transformation to evaluate the integral. where R is the region in the first quadrant bounded by the lines and the hyperbolas

Use polar coordinates to find the volume of the solid bounded by the paraboloid and the plane

Find the mass of the solid S bounded by the paraboloid and the plane if S has constant density 3.Select the correct Answer

Evaluate the iterated integral.Select the correct Answer

Find the center of mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola and the x-axis.