(a) Evaluate the integral [21,22,23,21] 3(z − 1)²dz, z₁ = 1, %2 = 1 + i, z3 = −1 + i. (b) Show that when f(z) = x³ + (1 - y)³, it is legitimate to write f'(z) = 3x² only when z = i.

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A:

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A:

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A:

Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

A:

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A:

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A:

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Q: Expana X-y+3y-2 in powers of x-I and y+2.

A:

Q: d) Prove that In|y² − 4| is NOT an antiderivative of - (Hint: Show that y²-4 is not the derivative…

A: