Let y=sin⁡(2x)\displaystyle {y}={\sin{{\left({2}{x}\right)}}}. If Δx=0.4\displaystyle \Delta{x}={0.4} at x=0\displaystyle {x}={0}, use linear approximation to estimate Δy\displaystyle \Delta{y}

Δy≈\displaystyle \Delta{y}\approx =  

Find the percentage error

error = %  

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