Given below are two statements
Statement I: If f(z) = u + iv is an analytic function, then u and v are both harmonic functions.
Statement II: If f(z) is analytic within and on a closed curve C, and if a is any point within C, then \( \rm f(a)=\frac{1}{2\pi i}\int_C\frac{f(z)}{z-a}dz\)
In the light of the above statements, choose the most appropriate answer from the options given below
1
Both Statement I and Statement II are correct
2
Both Statement I and Statement II are incorrect
3
Statement I is correct but statement II is incorrect
4
Statement I is incorrect but statement II is correct