Question 1

Estimate the volume of the solid that lies above the square  and below the elliptic paraboloid  Divide  into four equal squares and use the Midpoint rule.

Accepted Answer

The answer of Estimate the volume of the solid that...

Question 2

Use cylindrical coordinates to evaluate  where E is the region that lies inside the cylinder  and between the planes  Round theAnswer to two decimal places.

Accepted Answer

The answer of Use cylindrical coordinates to evaluate  where...

Question 3

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

Accepted Answer

The answer of Evaluate  where  and T is...

Question 4

Use polar coordinates to find the volume of the sphere of radius Round to two decimal places.

Accepted Answer

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

Question 5

For which of the following regions would you use rectangular coordinates?

Accepted Answer

1766.0

Question 6

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

Accepted Answer

1764.0

Question 7

Use polar coordinates to find the volume of the solid under the paraboloid  and above the disk  .Select the correct Answer

Accepted Answer

1763.0

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

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

Accepted Answer

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

Question 10

The sketch of the solid is given below.Given  write the inequalities that describe it.Select the correct Answer

Accepted Answer

1776.0

Question 11

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length  if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at  and that the sides are along the positive axes.

Accepted Answer

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

Question 12

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

1772.0

Question 13

Use the given transformation to evaluate the integral.  where R is the square with vertices (0, 0), (4, 6),  (10, 2) and

Accepted Answer

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

Question 14

Find the Jacobian of the transformation.

Accepted Answer

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

Question 15

Find the mass and the center of mass of the lamina occupying the region R, where R is the triangular region with vertices  and having the mass density

Accepted Answer

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

Question 16

Evaluate the double integral by first identifying it as the volume of a solid.Select the correct Answer

Accepted Answer

1761.0

Question 17

Calculate the iterated integral.

Accepted Answer

The answer of Calculate the iterated integral. ...

Question 18

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

Accepted Answer

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

Question 19

Find the area of the part of the sphere  that lies inside the paraboloid  Select the correct Answer

Accepted Answer

1770.0

Question 20

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

Accepted Answer

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

Quiz 15: Multiple Integrals

Estimate the volume of the solid that lies above the square and below the elliptic paraboloid Divide into four equal squares and use the Midpoint rule.

Use cylindrical coordinates to evaluate where E is the region that lies inside the cylinder and between the planes Round theAnswer to two decimal places.

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

Use polar coordinates to find the volume of the sphere of radius Round to two decimal places.

For which of the following regions would you use rectangular coordinates?

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

Use polar coordinates to find the volume of the solid under the paraboloid and above the disk .Select the correct Answer

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

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

The sketch of the solid is given below.Given write the inequalities that describe it.Select the correct Answer

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

Use the given transformation to evaluate the integral. where R is the square with vertices (0, 0), (4, 6), (10, 2) and

Find the Jacobian of the transformation.

Find the mass and the center of mass of the lamina occupying the region R, where R is the triangular region with vertices and having the mass density

Evaluate the double integral by first identifying it as the volume of a solid.Select the correct Answer

Calculate the iterated integral.

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

Find the area of the part of the sphere that lies inside the paraboloid Select the correct Answer

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