Question: 7. Let E be the ball of radius 1 centered at the point (0, 0, 1). (a) Show that E is given in Cartesian coordinates

7. Let E be the ball of radius 1 centered at

7. Let E be the ball of radius 1 centered at the point (0, 0, 1). (a) Show that E is given in Cartesian coordinates by the equation x2 + y2 + 22 g 22. (b) Write E is spherical coordinates. (0) Suppose the density on E is equal to the distance to the origin. Use spherical coordinates to compute the mass and center of mass of E

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