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:
8358.7
Step-by-step explanation:
I think. I need someone to verify
Answer:
26 2/3 yards,
Step-by-step explanation:
First convert 3 1/3 to an improper fraction:
3 1/3 = (3*3 + 1) / 3 = 10 /3.
So for 8 quilts we need (10/3) * 8
= 80/3
= 26 2/3 yards,
Answer:
( 4, 1 )
Step-by-step explanation:
midpoint formula: (x1 + x2/ 2, y1 + y2/ 2)
(9-1/ 2, -6+8/ 2) -> (4,1)
WORK
5π/12
75∘⋅π/180∘=5π/12
Therefore the answer not rounded is 1.309 radians