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:
A
Step-by-step explanation:
18 + 12 = 30
A: 6 (3 + 2) = 30
Simplified 6*5 = 30
You are going to make a graph. The x-axis will represent age while the y-axis represents the amount of money spent on a night out. Graph the ordered pairs, making a scatter plot. Once you have all of the points on the graph, answer the question by saying something like "the older someone is, the less money they spend on a night out" but make sure it's accurate. (:
Answer:
A, or 50.24 ft.
Step-by-step explanation:
Doing the equation above, we know the radius of the circle, which is 8 ft.
8ft times 2 is 16ft.
16ft times pi gives us (rounded) 50.24 ft.
