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,
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:...
The Shell Method vs Disk Method (X-Axis) The Shell Method vs Disk Method (Y-Axis) For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution. Example Okay, so let’s see the shell...
Question: 10. Use the disk/washer OR the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given line. Include a sketch of the graph of the regions. List which...
Find the volume of the solid generated by revolving the region bounded by x = 5/7, x = -5y, and y = 1 about the line y = 1. Use the shell or washer method.Disk Method in Calculus:In order to determine th...
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...
Shell method和washer method是数学中用于计算旋转体体积的两种方法,常用于微积分课程中。它们在实际问题的建模和求解中都有广泛的应用。 首先,让我们详细了解shell method。Shellmethod(壳法)是一种通过将旋转体切割成无数无限薄的壳体来计算体积的方法。这些壳体垂直于旋转轴,其厚度非常薄,可以将其近似为线段。通过将...
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...
The method of pressing solves a procedure of forming operations for creation of loading hole casing of top load automatic washing machine drum and it is characteristic by a special combination of certain forming procedures. The procedure is the following: In a semiprocessed coating of the drum, ...
Answer to: Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method. The region bounded...