Shell method(壳方法)和Washer method(洗衣机方法)是微积分中用于计算旋转体体积的两种方法。 Shell method(壳方法)是一种通过将旋转体切割成无限多个薄壳(或者说管壳)来计算体积的方法。具体而言,我们将旋转体沿着垂直于旋转轴的方向切割成无数个薄壳,每个薄壳的厚度非常小。然后,我们计算每个薄壳的体积,并将所有薄...
现在,我们来回答一些与Shell method和washer method相关的问题。 问题1:什么时候使用Shell method,什么时候使用washer method? 答:当旋转体是由曲线绕某条轴旋转而成时,我们可以使用Shell method。当旋转体是由两条曲线之间的区域旋转而成时,我们可以使用washer method。 问题2:如何确定薄壳或洗盘的高度和厚度? 答:...
Use the methods disk/washer method and shell method to solve for the volume S of the solid formed when the region bounded by the curves y = (ln x)^(1/2), y = (ln x^2)^(1/2), y = 1 is revolved about the x...
Find the volume of the solid generated by revolving the region bounded by the curves {eq}y = x^3 {/eq}, {eq}y = 0 {/eq} and {eq}x = 4 {/eq} by disk washer and shell method. }] about the y-axis. ...
It is composed of the shell, bucket, rattler, motor and the agitator. The washer can be taken in or out dressings convenience. It can stir dressings well and save the water. Because the agitator is set in the rattler, so it can disperse the dressings uniformly and improve the washing ...
Washer method(环法)也是一种计算旋转体体积的方法。不同于shell method,washer method将旋转体切割成一系列的环形切片,然后将这些切片的体积相加以计算旋转体的体积。washer method通常应用于具有空洞或中空的旋转体。 继续上述例子,假设我们有一个曲线y =√x,我们将其围绕x轴旋转,以创建一个中空旋转体。我们想要...
shell method和washer method -回复 什么是壳法和洗衣机法? 壳法和洗衣机法是微积分中求解旋转体体积的两种方法。这两种方法都可以用来计算由曲线绕坐标轴旋转一周所形成的旋转体的体积。壳法和洗衣机法是数学家们为了解决这类问题而发展出的两种重要的求解途径。 壳法(shell method)也被称为圆盘法。它的基本...
The simple flowmeter control method used in the past was affected by environmental factors. The new technology of the bottle washer has greater accuracy and safety. High cleanliness 1. Imported high-efficiency circulating pump in Sweden, the cleaning pressure is stable an...
The simple flowmeter control method used in the past was affected by environmental factors. The new technology of the bottle washer has greater accuracy and safety. High cleanliness 1. Imported high-efficiency circulating pump in Sweden, the cleaning pressure is stable and reliab...
Answer to: Consider the region bounded by y=x-x^2 and y=0 rotated along the y-axis. Solve using either the disk, washer, or shell method. By...