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AP® Calculus AB-BC

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Moderate

Error in Euler's Method Approximation 1

APCALC-FFZYLW

Let $\cfrac{dy}{dx}=x$ and $y\left(0\right)=0$.

Which of the following is closest to the error in the calculation of $y\left(1.0\right)$ if Euler's Method is used a step size of $\Delta x=0.5$?

A

$0$

B

$0.1$

C

$0.25$

D

$0.5$