Question: NOTE: If two single-variable functions f and g have equal derivatives, then they must differ by a constant, i.e., f= g+c for some constant c.

 NOTE: If two single-variable functions f and g have equal derivatives,

then they must differ by a constant, i.e., f= g+c for some

NOTE: If two single-variable functions f and g have equal derivatives, then they must differ by a constant, i.e., f= g+c for some constant c. Prove or Disprove: If F and G are vector fields in R' with curl F = curl G and div F = div G, then F and G differ by a constant, i.e., F = G + C where C is some constant vector

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