3. Compute the line integrals S P dx + Q dy where: (a) y is the...

  

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3. Compute the line integrals S P dx + Q dy where: (a) y is the straight line segment from 1 to i, P(z) = z² and Q(z) = iz². (b) y is the straight line segment from 1 to i, P(z) = z² and Q(z) = -iz². y (c) is the quarter-circle centered at 0 from 1 to i, P(z) = z² and Q(z) = iz². (d) y is the quarter-circle centered at 0 from 1 to i, P(z) = z² and Q(z) = −iz². [You may re-use calculations between parts of the question without repeating them.] 3. Compute the line integrals S P dx + Q dy where: (a) y is the straight line segment from 1 to i, P(z) = z² and Q(z) = iz². (b) y is the straight line segment from 1 to i, P(z) = z² and Q(z) = -iz². y (c) is the quarter-circle centered at 0 from 1 to i, P(z) = z² and Q(z) = iz². (d) y is the quarter-circle centered at 0 from 1 to i, P(z) = z² and Q(z) = −iz². [You may re-use calculations between parts of the question without repeating them.]

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