Question: 1. Use spherical coordinates. Evaluate [ff {x2 + 1x2 + 22]2 G'V, where B is the ball with center the origin and radius 1. B

 1. Use spherical coordinates. Evaluate [ff {x2 + 1x2 + 22]2G'V, where B is the ball with center the origin and radius1. B S Consider the following integral. [f [x2 + 5:2] dir',where E lies between the spheres x2 + y2 + z2 =

1.

4 and x2 + 5,2 + z2 = 25 E Write anequivalent integral using spherical coordinates. [HTS )mm Evaluate the integral. S Usespherical coordinates. (a) Write an integral that can be used to ndthe volume of the solid that lies above the cone (,9 =E and below the sphere p = 16 cos(:p]. 3 21': A1.6095(99] / f f l )W D U B A: Find the

Use spherical coordinates. Evaluate [ff {x2 + 1x2 + 22]2 G'V, where B is the ball with center the origin and radius 1. B S Consider the following integral. [f [x2 + 5:2] dir', where E lies between the spheres x2 + y2 + z2 = 4 and x2 + 5,2 + z2 = 25 E Write an equivalent integral using spherical coordinates. [HTS )mm Evaluate the integral. S Use spherical coordinates. (a) Write an integral that can be used to nd the volume of the solid that lies above the cone (,9 = E and below the sphere p = 16 cos(:p]. 3 21': A 1.6095(99] / f f l )W D U B A: Find the volume. (b)- Find the moments about the three coordinate planes of the solid found in part (a). Mxy = j : sz : Find the centroid of the solid. w=

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