What’s the difference between disk method, washer method and shell method in calculus?
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What’s the difference between disk method, washer method and shell method in calculus?
Disk method is when people eat the wax and leave the waxy filaments. The washer method, which is common in both Europe and Russia, involves pouring a bit of boiling water over soft wax before eating it with bread or crackers This loosens it up so you can suck it out or scrape it out with a spoon. Generally called boketbyanka shell method is when one sits on the top edge of an undulating tank and slurps from the bottom wall – like a tapering ice cream cone. With no risk of spluttering soot all down your front- this process takes less skill than any other but requires patience to await opportunities to find suitable spots near bottom walls; otherwise there’s more water in the world’s bowls than a lowly scribe can hope to consume in a lifetime.
They are names for three ways of handling one number.
Disk method: Add the numbers in a circle and then cover them up with the same number, so that you have a single “disc” to work on when you’re adding. For example, the answer to *1+2* would be 3 since its top number is covered by a *3*.
Holes-in-the-sides method: Put all of your numbers into two rows, eight per row. The left column will be labeled with letters from A through H (representing 1 though 8) and the right column will be labeled with numbers from 9 through 1 (9 being 8 plus an additional carries digit). Now fill in digits in each row. The largest multiple of nine which has not been filled in is the answer to the problem.
I have found that the disk method involves slicing the solid into discs perpendicular to the axis of rotation, the washer method involves slicing the solid into washers with a hole in the middle, and the shell method involves slicing the solid into cylindrical shells parallel to the axis of rotation. Each method has its own unique approach to finding volume and requires different integration techniques.
The shell method is the oldest, dating back to about 3000 BC. Here a whole chicken is boiled in a pot with live clams or other shellfish. Bacterial valves act as natural filters for much of the fat that cooks out from the bird. The word “calorie” itself derives from this term, meaning there is an indication that this way of cooking has been around for such a long time it deserved its own name!
The disk method-you can cook boneless skinless chicken breasts, which are sliced into disks and then browned before being loaded onto a tray and baked at 350 degrees Fahrenheit – provides almost 90 percent lean muscle going into your meal, per serving!
The disk method is using skills to calculate the conversion.
The washer method is a close approximation which divides 96,000 seconds by 7 days = 13,500 seconds per day
The shell method is similar to the washer method except for putting an extra 13 hour-mark on top of it. This puts “a day” as 24 hours instead of 23 hours and 57 minutes which means that this will add up slower than the other methods over time (i.e., total days) but faster at any one point in time. In other words, you’ll age faster if you do not do some time-wasting activities like watching tv or browsing reddit every day during your lunch break.
Disk methods, like that used for coffee beans and table salt, are difficult to use for larger quantities of calcite. The wetting agent doesn’t work well over a large surface area, so the solution wets only an outer rim around the disk and not enough of the material itself. If you try it with sugar granules then you’ll see what I mean – they just won’t dissolve at all. But it’s worth noting that disk methods can also work very well where small volumes are required or when coating one side of the sample to measure half thickness by comparison against a flat target.
The washer method is another way of measuring half thickness – in this case a small disc, or ‘washer’ is used. This may sound like a good idea but there are many practical issues when using it in actual applications.
First consider the geometry. We need to know the radius of the washer and its thickness. If one of these is fixed then the other has to vary. If you measure the radius first, then it’s difficult to know what thickness to set for the washer because this also depends on how hard you press down when measuring (to get a good contact area). If you choose too loose a fit then the washer will be poorly compressed and give you a false reading; too tight and the washer may become deformed. Making multiple measurements with different washers of known thickness doesn’t help because you don’t know how much the washer has deformed during use (and it will definitely deform on some compression paths).
Shell method is another way to measure half thickness. By double diffraction, it can avoid the effects of compression. But for this method, you need to measure two reflections simultaneously that are safe to use the same aperture angle. The first step is to mark a target area on your sample which should be flat or at least level with the surrounding material. Since calcite has cleavage planes then any surface scratch, gouge or cut is unacceptable because it will encourage preferential growth in that direction.
I found that the disk method calculates the volume of a solid of revolution by slicing it perpendicular to the axis of rotation, the washer method calculates the volume by subtracting the volume of the hole from the volume of the outer disk, and the shell method calculates the volume by integrating the surface area of a solid of revolution along the axis of rotation. Each method has its own strengths and may be more suitable for different types of problems in calculus.
Disk Method is the most accurate method and probably the easiest to teach a class, but can be tedious given a long list of numbers.
Washer Method is easy to teach kids, quick with large lists, does not require carrying over or regrouping. It’s too difficult for small lists of arbitrary numbers.
Shell Method is tedious for larger lists than about 15-20 numbers and has no meaning when used on arbitrarily generated questions . In addition – it relies on recoding which assumes that there are no changes in units or operations between selections of digits to make an easier/harder calculation.