Consider the function on the interval

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

Problem

Consider the function

p(x)=k x^{2}e^{x}

on the interval

[0,1]

. If the average value of

p

over

[0,1]

is 3, what is the value of

k

to two decimal places? (a) 1.10 (b) 7.28 (c) 4.18 (d) 3.00