Answer
a. $ 6 \frac{kg}{m}$
b. $ 12 \frac{kg}{m}$
c. $ 18 \frac{kg}{m}$
The highest is when $p(3) = 18$ and the lowest one is when $p(1) = 6$.
Work Step by Step
a. $1m$
$m = 3x^{2}$
$p = \frac{d(3x^{2})}{dx}$
$p = 6x$
$p(1) = 6(1)$
$p(1) = 6\frac{kg}{m}$
b. $2m$
$m = 3x^{2}$
$p = \frac{d(3x^{2})}{dx}$
$p = 6x$
$p(2) = 6(2)$
$p(2) = 12\frac{kg}{m}$
b. $3m$
$m = 3x^{2}$
$p = \frac{d(3x^{2})}{dx}$
$p = 6x$
$p(2) = 6(3)$
$p(3) = 18\frac{kg}{m}$
