Finding the value of the below curve

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Amy Topaz
Amy Topaz on 14 Apr 2022
Answered: Sam Chak on 14 Apr 2022
How to find the maximum value of the below curve:
z1 = [0.00008 0.009]';
a11 = -4:0.001:4;
k1 = (atan(((0.01/2 + a11)./z1) + atan((0.01/2 - a11)./z1)));
plot(a11,k1(1,:),'-k',a11,k1(2,:),'-r')

Answers (1)

Sam Chak
Sam Chak on 14 Apr 2022
Since the curves are arctangent functions, the max values can be found at the boundary, in this case, that is a11 = 4.
It is important to know that the limit at infinity of the arctangent function is .
max_idx = length(a11)
k11_max = k1(1,:)(max_idx)
k12_max = k1(2,:)(max_idx)
k11_max = 1.5708
k12_max = 1.5685

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