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}=\sec^{2}x

and

y(0)=-1

. Determine

y\!\left(\dfrac{\pi}{4}\right)

. (a)

1

(b)

-1

(c)

0

(d)

\sqrt{2}-2

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