The function is defined by for for

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

Problem

The function

f

is defined by

f(t)=t

for

0\le t\le 4,

f(t)=8-t

for

4<t\le a,

where

a>4

. Let

g(x)=\displaystyle\int_{0}^{x} f(t)\,dt

. If

g(a)=16

, what is the value of

a

? (a)

6

(b)

11

(c)

8

(d)

12

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