AP® Calculus AB-BC

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Moderate

Euler Approximation with Table

APCALC-SE9UYK

Given the table below, use Euler’s method to approximate $y(1.5)$ with two steps of equal size starting at $y(1)=4$.

x 1 1.125 1.25 1.375 1.5
y 4 3.875 3.75 3.5 -
dy/dx -1 -0.5 -2 -2.5 -
A

$3.5$

B

$3.25$

C

$3.1875$

D

$2.75$

E

$2.1875$