(6) (Bonus) Determine the Cartesian equation of the surface with spherical coordinate equation rho = 2 cos θ sin φ − 2 sin θ sin φ + 2 cos φ. It turns out this describes a sphere. What is the center and radius of this sphere?

Hence, the sphere has a radius of  and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

We have to take into account the relation between coordinates

by substituting we have:

We have to complete squares:

Hence, the sphere has a radius of  and is centered at the point (1,-1,1)

hope this helps!!

-4

step-by-step explanation:

the correct answer is x/3+10≥32

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