Find the location (u 1 , v 1 ) of the maximum of * = e u
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Find the location (u1, v1) of the maximum of Φ* = eu cos v in R*: |w| ≤ 1, v ≥ 0, where w = u + iv where. Find the region R that is mapped onto R* by w = f(z) = z2. Find the potential in R resulting from Φ* and the location (x1, y1) of the maximum. Is (u1, v1) the image of (x1, y1)? If so, is this just by chance?
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