For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

Answer:

Step-by-step explanation:
Blue Marbles =5
Pink Marbles =3
Total =3+5=8
Probability of drawing two marbles with replacement
=P(First Blue Marble AND Second Blue Marble)
=P(First Blue Marble) X P(Second Blue Marble)

Answer:
$1.12
Step-by-step explanation:
12÷3=4
1 box of markers is $2.50, Multiply $2.50 by 3 and you get $7.50. 12- $7.50= $4.50. $4.50÷ 2= $2.25. $2.25÷2= $1.12
Not 100% but i'm pretty sure this is the answer. Hope this helps. ( if i'm wrong sorry its 2:30 am)