A function satisfies and

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A function

y

satisfies

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

and

y(1)=0

. Using a calculator, which of the following is the best approximation of

y(1.5)

? (a)

6.12

(b)

5.56

(c)

7.14

(d)

5.23