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Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E) .


A) Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E)
B) Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E)
C) Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E)
D) Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E)
E) Evaluate the iterated integral by converting to polar coordinates. Round the answer to two decimal places. . A) B) C) D) E)

F) All of the above
G) B) and D)

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An agricultural sprinkler distributes water in a circular pattern of radius An agricultural sprinkler distributes water in a circular pattern of radius ft. It supplies water to a depth of feet per hour at a distance of feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius feet centered at the sprinkler? ft. It supplies water to a depth of An agricultural sprinkler distributes water in a circular pattern of radius ft. It supplies water to a depth of feet per hour at a distance of feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius feet centered at the sprinkler? feet per hour at a distance of An agricultural sprinkler distributes water in a circular pattern of radius ft. It supplies water to a depth of feet per hour at a distance of feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius feet centered at the sprinkler? feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius An agricultural sprinkler distributes water in a circular pattern of radius ft. It supplies water to a depth of feet per hour at a distance of feet from the sprinkler. What is the total amount of water supplied per hour to the region inside the circle of radius feet centered at the sprinkler? feet centered at the sprinkler?

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Compute Compute , where is the disk , by first identifying the integral as the volume of a solid. , where Compute , where is the disk , by first identifying the integral as the volume of a solid. is the disk Compute , where is the disk , by first identifying the integral as the volume of a solid. , by first identifying the integral as the volume of a solid.

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Evaluate Evaluate where is the figure bounded by and . where Evaluate where is the figure bounded by and . is the figure bounded by Evaluate where is the figure bounded by and . and Evaluate where is the figure bounded by and . .

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Find the area of the surface S where S is the part of the surface Find the area of the surface S where S is the part of the surface that lies inside the cylinder that lies inside the cylinder Find the area of the surface S where S is the part of the surface that lies inside the cylinder

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Use spherical coordinates to evaluate Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8 where B is the ball Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8


A) 512 Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8
B) 64 Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8
C) 1024 Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8
D) 8 Use spherical coordinates to evaluate where B is the ball A) 512 B) 64 C) 1024 D) 8

E) None of the above
F) A) and D)

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Set up, but do not evaluate, the iterated integral giving the mass of the solid T bounded by the cylinder Set up, but do not evaluate, the iterated integral giving the mass of the solid T bounded by the cylinder in the first octant and the plane having mass density given by in the first octant and the plane Set up, but do not evaluate, the iterated integral giving the mass of the solid T bounded by the cylinder in the first octant and the plane having mass density given by having mass density given by Set up, but do not evaluate, the iterated integral giving the mass of the solid T bounded by the cylinder in the first octant and the plane having mass density given by

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Express the volume of the wedge in the first octant that is cut from the cylinder Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . by the planes Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . and Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . as an iterated integral with respect to Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . , then to Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . , then to Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to , then to , then to . .

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Use cylindrical coordinates to evaluate the triple integral Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the sphere and in the first octant. where E is the solid that lies between the sphere Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the sphere and in the first octant. and Use cylindrical coordinates to evaluate the triple integral where E is the solid that lies between the sphere and in the first octant. in the first octant.

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Calculate the iterated integral. Calculate the iterated integral.

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Evaluate the double integral Evaluate the double integral , where is the region bounded by the graphs of and . , where Evaluate the double integral , where is the region bounded by the graphs of and . is the region bounded by the graphs of Evaluate the double integral , where is the region bounded by the graphs of and . and Evaluate the double integral , where is the region bounded by the graphs of and . .

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Find the area of the surface S where S is the part of the plane Find the area of the surface S where S is the part of the plane that lies above the triangular region with vertices , and that lies above the triangular region with vertices Find the area of the surface S where S is the part of the plane that lies above the triangular region with vertices , and Find the area of the surface S where S is the part of the plane that lies above the triangular region with vertices , and , and Find the area of the surface S where S is the part of the plane that lies above the triangular region with vertices , and

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Find the area of the surface S where S is the part of the sphere Find the area of the surface S where S is the part of the sphere that lies inside the cylinder that lies inside the cylinder Find the area of the surface S where S is the part of the sphere that lies inside the cylinder

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Find the area of the part of hyperbolic paraboloid Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) that lies between the cylinders Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) and Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) .


A) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E)
B) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E)
C) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E)
D) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E)
E) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E) Find the area of the part of hyperbolic paraboloid that lies between the cylinders and . A) B) C) D) E)

F) A) and B)
G) A) and E)

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Use a computer algebra system to find the moment of inertia Use a computer algebra system to find the moment of inertia of the lamina that occupies the region D and has the density function , if . A) 24.105 B) 8.313 C) 34.138 D) 28.5 E) None of these of the lamina that occupies the region D and has the density function Use a computer algebra system to find the moment of inertia of the lamina that occupies the region D and has the density function , if . A) 24.105 B) 8.313 C) 34.138 D) 28.5 E) None of these , if Use a computer algebra system to find the moment of inertia of the lamina that occupies the region D and has the density function , if . A) 24.105 B) 8.313 C) 34.138 D) 28.5 E) None of these .


A) 24.105
B) 8.313
C) 34.138
D) 28.5
E) None of these

F) C) and E)
G) A) and E)

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The sketch of the solid is given below. Given The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E) , write the inequalities that describe it. The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E)


A) The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E)
B) The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E)
C) The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E)
D) None of these
E) The sketch of the solid is given below. Given , write the inequalities that describe it. A) B) C) D) None of these E)

F) B) and C)
G) C) and D)

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Calculate the iterated integral. Calculate the iterated integral. A) B) C) D) E)


A) Calculate the iterated integral. A) B) C) D) E)
B) Calculate the iterated integral. A) B) C) D) E)
C) Calculate the iterated integral. A) B) C) D) E)
D) Calculate the iterated integral. A) B) C) D) E)
E) Calculate the iterated integral. A) B) C) D) E)

F) D) and E)
G) None of the above

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Find the mass of the solid S bounded by the paraboloid Find the mass of the solid S bounded by the paraboloid and the plane if S has constant density 3. A) 13.92 B) 15.07 C) 19.63 D) 16.25 E) 24.91 and the plane Find the mass of the solid S bounded by the paraboloid and the plane if S has constant density 3. A) 13.92 B) 15.07 C) 19.63 D) 16.25 E) 24.91 if S has constant density 3.


A) 13.92
B) 15.07
C) 19.63
D) 16.25
E) 24.91

F) A) and E)
G) A) and D)

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Find the moment of inertia with respect to a diameter of the base of a solid hemisphere of radius 3 with constant mass density function Find the moment of inertia with respect to a diameter of the base of a solid hemisphere of radius 3 with constant mass density function

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Evaluate the integral Evaluate the integral where and with respect to x, y, and z, in that order. A) 120 B) 500 C) 620 D) 180 where Evaluate the integral where and with respect to x, y, and z, in that order. A) 120 B) 500 C) 620 D) 180 and Evaluate the integral where and with respect to x, y, and z, in that order. A) 120 B) 500 C) 620 D) 180 with respect to x, y, and z, in that order.


A) 120
B) 500
C) 620
D) 180

E) A) and C)
F) A) and B)

Correct Answer

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