Q5. (a) i. Prove that the inverse transformation W = = Z transforms the straight line ax + by = 0 is a straight line through the origin. ii. Show that the image of the hyperbola x² - y² = 1 is the transiscate p² = cos2p. (b) Obtain the Taylor's series to represent the function |Z| < 2. z²-1 (z+2)(Z+3) in the region

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Q: f1(x) = sin(x1) cos(x2), T f2(x, y) = xy, f3(x) = xx¹, € R² x = x, yern XER"

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