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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, . . .

 Jun 19, 2024
 #1
avatar+1839 
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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

 Oct 10, 2024

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