(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)
Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...
Answer:
7/10 or 70%
Step-by-step explanation:
There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.
These are the results that qualify as having at least two T's.
1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH
That is 7 out of the 10 results which is 7/10 or 70%
$65.91 should be the account balance at the end of the month
Answer:
A batting average is simply the ratio of hits/at-bats. So, if Karen were up to bat 1,000 times and she got a hit 444 times, that makes her batting average 444/1,000 = .444.
The good news is you can multiply this ratio by number of at bats to get the number of hits.
So, 45 hits x .444 = your answer.
Hope that helps.
Answer:
(328i + 82) / 17
Step-by-step explanation:
`(2i(4+5i)(4-5i))/(4+i)
= (2i(16 - 25i^2)) / (4 + i)
= (2i( 16 + 25) )) / (4 + 1) [Note:- i^2 = -1]
= 82i / (4 + i)
= 82i(4 - i) / (4 + i)(4 - 1)
= 328i + 82 / (16 - i^2)
= (328i + 82) / 17