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Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length 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. A) B) C) D) E) None of these 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 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. A) B) C) D) E) None of these ,and that the sides are along the positive axes.


A) 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. A) B) C) D) E) None of these
B) 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. A) B) C) D) E) None of these
C) 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. A) B) C) D) E) None of these
D) 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. A) B) C) D) E) None of these
E) None of these

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

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A lamina occupies the part of the disk A lamina occupies the part of the disk in the first quadrant.Find its center of mass if the density at any point is proportional to its distance from the x-axis. in the first quadrant.Find its center of mass if the density at any point is proportional to its distance from the x-axis.

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Find the mass of the lamina that occupies the region Find the mass of the lamina that occupies the region and has the given density function.Round your answer to two decimal places. and has the given density function.Round your answer to two decimal places. Find the mass of the lamina that occupies the region and has the given density function.Round your answer to two decimal places.

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An electric charge is spread over a rectangular region 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 A) coulombs B) coulombs C) coulombs D) coulombs Find the total charge on R if the charge density at a point 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 A) coulombs B) coulombs C) coulombs D) coulombs in R (measured in coulombs per square meter) is 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 A) coulombs B) coulombs C) coulombs D) coulombs


A) 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 A) coulombs B) coulombs C) coulombs D) coulombs coulombs
B) 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 A) coulombs B) coulombs C) coulombs D) coulombs coulombs
C) 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 A) coulombs B) coulombs C) coulombs D) coulombs coulombs
D) 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 A) coulombs B) coulombs C) coulombs D) coulombs coulombs

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

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C

Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , and Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , ,and having the mass density Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) ,


A) Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) ,
B) Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) ,
C) Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) ,
D) Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) , , Find the mass and the center of mass of the lamina occupying the region R,where R is the triangular region with vertices and ,and having the mass density A) , B) , C) , D) ,

E) A) and B)
F) B) and D)

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C

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