1.9, explain which following is an entire functi Ecc ristor ecz²+15 cas Where f PCD= в сго = شاخ is not but 2 between to show that the function =Cz) 2³ - =x²-x+y+i(y² = SY-x) analytic at any Point is differentiable along y=x+2 4 and is let ycc.) be a teal valued function show that if both are harmonic theo u is a constant

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Let f be the map sending each Comp lex num bey z> Show f(2,Z2) = f (2,) f (2») %3D

A: The detailed solution is as follows below :

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Q: 子6)= cosz- Ga82-1., XE Co, 2T].

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Q: Please just do 1(b)

A: To compute the required value , by definite integral

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Q: 04/ Bind the differential of Hthe Punction at the indicated number f(x)- JzxAY x =4

A: We can find the differential at the indicated point as below

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Q: Find an analytic function (or functions) if Ref(z) = x ² y² + 2x and fli) = 2i -1

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