Question: Find the function whose exact differential is d f = cos (x) sin (y) sin (z)dx +sin (x) cos (y) sin (z)dy +sin (x) sin

Find the function whose exact differential is

d f = cos (x) sin (y) sin (z)dx

        +sin (x) cos (y) sin (z)dy

       +sin (x) sin (y) cos (z)dz

and whose value at (0,0,0) is 0. Find the area of the circle of radius a given by ρ = a by doing the double integral

2π οα 1 dφ dρ.

2 1 d d.

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