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Home :: Contents (2267) :: Multivariate Calculus (58) :: Applications

Applications (7 problems)


The following math problems could be found for the requested category. If you want to find a specific problem, please use the search box on the left menu

Problem #1: Calculation of Surface Areas

Find the area of the surface of the portion of the conebetween the cylinderand the plane.

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Problem #2: Multivariate Calculus - Applications - Calculation of Volumes

Find the volume of the solid bounded by the elliptic parabola, the planesand, and the coordinate planes.

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Problem #3: Multivariate Calculus - Applications - Calculation of Volumes

Find the volume of the given solid enclosed by the paraboloidand the planes

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Problem #4: Multivariate Calculus~Applications~Center of mass and centroids~ID69

Find the mass and center of mass of the lamina that occupies the region

and has a density

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Problem #5: Multivariate Calculus~Applications~Center of mass and centroids~ID70

A lamina occupies the part of the diskin the first quadrant. Find the center of mass if the density at any point is proportional to the square of its distance from the origin.

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Problem #6: Multivariate Calculus~Applications~Center of mass and centroids~ID71

A lamina occupies the region inside the circlebut outside the circle. Find the center of mass if the density is inverse proportional to the distance from the origin.

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Problem #7: Multivariate Calculus~Applications~Moments of Inertia~ID72

A lamina occupies that part of the diskin the first quadrant, the density is proportional to the square of the distance from the origin. Find the moments of inertia: ,and.

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