For 0 <= x <= 1, let f(x) = max{ x^2 - x + 1, 1/2*x^2 + 1/2*x}.Find the minimum value of f(x) for 0 <= x <= 1. Note: For real numbers a, b, c,...,
max {a, b, c, . . . } denotes the maximum (or largest) number among a, b, c, . . .
For this problem, you must consider magnitude and argument of complex numbers geometrically.
The answers are as follows:
r_1 = 16
theta_1 = 3*pi/2
r_2 = sqrt(3)
theta_2 = 5*pi/4
r_3 = 12
theta_3 = pi/3
+2653 
