Mathematics

Problem

A function

y

satisfies

\dfrac{dy}{dx}=e^{-x^{2}}

and

y(0)=2

. Using the trapezoidal rule with two subintervals of equal length on

[0,1]

, which of the following is the best approximation of

y(1)

? a) 2.89 b) 2.73 c) 2.57 d) 2.75