Answer: C is 10''
8^2,6^2=10"
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:
I won’t give a actual answer to the equation, because I want you and anyone else to learn it. but I do want to help!
the sum is the answer to a addition problem. that means you should choose anything that falls under that.
The term is anything that is being separated by + or - so for this, choose anything like that.
The product is the final answer to a multiplication problem.
Factor- any number leading up to a answer in a problem. Example: 3 times 4 is 12. The 3 and the 4 are the factors.
Quotient- the final answer to a division problem.
Coefficient- the number separated from the rest of the problem or the number at the beginning of the problem that stands alone. Because this one is a bit harder to explain, I’ll go ahead and tell you it is 4.
Variable- the unknown number such as y or x.
I hope this helps, and good luck!! :)
