Let D be a disk in R2. This exercise shows that if ?V (x
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Let D be a disk in R2. This exercise shows that if ?V (x, y) = 0 for all (x, y) in D, then V is constant. Consider point
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Let D be a disk in R2. This exercise shows that if ?V (x, y) = 0 for all (x, y) in D, then V is constant. Consider points P = (a, b), Q = (c, d) and R = (c, b) as in Figure 16. (a) Use single-variable calculus to show that V is constant along the segments PR and RQ. (b) Conclude that V (P) = V (Q) for any two points P,Q ? D.
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