Answer: 6√2
Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36, then recognize 36 as a perfect square, 6 · 6.
There's no need to factor further because the 6's pair up
so a 6 comes out of the radical leaving a 2 inside.
So our answer is 6√2.
Always be on the lookout for perfect squares!
Work is attached below.
Each cross section is a square with side length equal to the vertical distance between the curves and , with , or . Then each section has an area of , so the volume of this solid is
For computing the integral, consider the substitution
Then the integral becomes
Integrate by parts twice; for the first round, take
For the second round, take
and the rest is trivial.
6 rounds up (1 time). 8 rounds up (2 times). 5 rounds up(3 times). 2 does not round up. 7 rounds up (4 times)
you can round up 4 times.
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
The answer would be 4 years.
Hope this helps.