(Solved): 2. Moderate 10 marks \( \mathrm{CO} 1 \) BL3 Discuss the transformation \( f(z)=z^{2} \) as the flo ...

2. Moderate 10 marks \( \mathrm{CO} 1 \) BL3 Discuss the transformation \( f(z)=z^{2} \) as the flow of fluid around a corner. Draw the equipotential lines and the stream lines. Also find the complex velocity and speed of the flow. 3. Moderate 10 marks \( \mathrm{CO} 2 \) BL3 Find the image of the region bounded by the lines \( x-y<2 \) and \( x+y>2 \) under the mapping \( w=1 / z \). Sketch the regions in the \( z \)-plane and their images in the \( w \)-plane.