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The root of the equation f(x) = 0 is found by using the Secant method. The initial guesses are x-1 = 3.6 and x0 = 1.5. Given that f(3.6) = 7.1 and f(1.5) = 3.9, the angle the secant line makes with the x axis is ___ (Report your answer in in degrees ; keep 4 decimal places.)

Respuesta :

Answer:

Angle made by secant line equals[tex]56.7251^{o}[/tex]

Step-by-step explanation:

Solpe of a line joining points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is given by

[tex]tan(\theta)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where [tex]y_{i}=f(x_{i})[/tex]

Applying values we get

[tex]tan(\theta)=\frac{7.1-3.9}{3.6-1.5}\\\\\theta =tan^{-1}\frac{32}{21}\\\\\theta=56.7251^{o}[/tex]

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