The function is defined on

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The function

g(t)=5e^{kt}

is defined on

[0,1]

. The average value of

g

over this interval is 10. Which of the following values of

k

(to the nearest thousandth) satisfies this condition? (a)

0.693

(b)

1.099

(c)

1.260

(d)

1.386