1- Assume that x, y ER and z = x+ iy E C and answer the...

Transcribed Image Text:

1- Assume that x, y ER and z = x+ iy E C and answer the followings: Find the linear transform which converts Re{z} > 3 area to inside the unit circle with center (0,1). b- Find the linear transform which converts Im{z} > 1 area to outside the unit circle with a- center (0,-1). C- Find the linear transform which converts inside the circle has a radius 2 and center is (0,-2) to Im{z} > -2. d- Find the linear transform which converts outside the circle has a radius 1 and center is (1,0) to Im{z} > 3. Consider the linear transform w = z+b form .Find b,c and d, if w=0 for z=1+i, w=3i for z=4 е- cz+d and w=-i for z=-2. 1- Assume that x, y ER and z = x+ iy E C and answer the followings: Find the linear transform which converts Re{z} > 3 area to inside the unit circle with center (0,1). b- Find the linear transform which converts Im{z} > 1 area to outside the unit circle with a- center (0,-1). C- Find the linear transform which converts inside the circle has a radius 2 and center is (0,-2) to Im{z} > -2. d- Find the linear transform which converts outside the circle has a radius 1 and center is (1,0) to Im{z} > 3. Consider the linear transform w = z+b form .Find b,c and d, if w=0 for z=1+i, w=3i for z=4 е- cz+d and w=-i for z=-2.

Answer rating: 100% (QA)

Thank y... View the full answer