Answer:
A) When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. True.
The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.
B) If a region is revolved about the y-axis, then the shell method must be used. False.
This method can be used with any axis of rotation.
C) If a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.
The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.
Answer:
Step-by-step explanation:
The solution is in the image
Answer:
It will take 8 seconds.
Step-by-step explanation:
To solve this, you would put it in ratio form (at least, that's what our class did). So 9 quarts of water in 6 seconds would be 9 quarts/6 seconds. You need to find the unit rate after that, so to find that you'd divide 9 by 6. This would give you 1.5 quarts per second.
Now all you need to do is find out what to multiply 1.5 by to be able to get to 12. The number you get will be how many seconds it takes for the hose to emit 12 quarts.
1.5 x <u> </u> = 12
1.5 x <u> 8 </u> = 12
8 is the number of seconds it takes for the hose to emit 12 quarts of water. To write this in ratio form, it would be
<u>12 quarts</u>
8 sec
(it's supposed to be written like a fraction, but there's no way to do that here.) Hope this helped!
So the modal value is most commonly known as mode, or the most common number in a data set. So the most common number in this stem-and-leaf plot is 137
The modal value is 137
Hopes this helps!
m = 2p + 3
I'm going to say that is correct because you're trying to find m, which is Linda's score. And her score is 2 times + 3 more than Lisa's.
Hope this helps!!(: