Question: (a) Write an equation for the sphere centered at (1,3,5) with a radius of 2.(Write a single equation in x,y,z, not parametric equations.)(b) Does this

(a) Write an equation for the sphere centered at (1,3,5) with a radius of 2.(Write a single equation in x,y,z, not parametric equations.)(b) Does this sphere intersect the x-y plane? (How do you know?)(c) Find an equation for the circle of intersection of the sphere with the y-z plane. (Again, write a single equation involving the two non-zero variables in the plane.)

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