For , a function is given by . For , is measured experimentally and the data are…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

0\le x\le2

, a function

p

is given by

p(x)=x^{2}

. For

2<x\le5

p

is measured experimentally and the data are provided below;

p

is assumed to be linear between these points. x: 2 3.5 5 p(x): 4 3 2 Estimate the average value of

p

[0,5]

. Express your answer to the nearest thousandth.