Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = ln x, y = 5, y = 6, x = 0 Find the volume of this solid. V = ___ Finding the Volume: ...
英语翻译The base of one solid is the region bounded by y^2=2x and x=2.The cross sections of this solid that are perpendicular to the x-axis are equilateral triangles.Find the volume of the solid.
A solid in the first octant is bounded by the planes x+z=1,y+z=1 and the coordinate planes. Use a triple integral in Cartesian coordinates to find the volume of this solid. Volum of the Region...
【题目】 微积分数学题,求体积findthevolumeofthesolidwhosebaseistheregionbou ndedby y=x^4,y=1,andthey-axisandwhosecross-sectionsperpendiculartother-axisaresemicircles.volume=? 相关知识点: 试题来源: 解析 【解析】 It seems the solid is the result of rot ating the area bounded by y = x^4,...
Find the volume of the solid obtained by rotating the region bounded by y=x^2,y=0, x=5, and about the y-axis. 求绕y轴旋转后的体积. Find the volume of the solid formed by rotating the region enclosed by y=e^x +5,y=0,x=0, x=0.5, about the y-axis. 求绕y轴旋转后的体积。
Find the volume of the solid bounded by the plane x=3 and the paraboloid x=13y2+13z2. Finding the volume: The objective is to find the volume of this solid. The general form of the volume is V=∭EdV By using the cylindrical coordinates we have to find the lim...
Which of the following definite integrals would be used to find the volume of this solid, using cross-sections that are congruent to the base? A: {eq}\displaystyle 3\left( \int_0^2 x^{2} \ dx \right) {/eq} B. {eq}\displaysty...
Consider the solid obtained by rotating the region bounded by the curves x=3y2,x=3 about the line x=3. Find the volume V of this solid Volume of Solid of Revolution: It is more convenient to use the washer method i...
在线等find the volume of the solid whose base is the region bounded by y=x^4,y=1,and the y-axis and whose cross-sections perpendicular to the y-axis are equilateral triangles.volume=? 2微积分数学题,求体积。在线等find the volume of the solid whose base is the region bounded by y=...
Use spherical coordinates to find the volume of the solid that lies above the cone z=√ (x^2+y^2) and below the sphere x^2+y^2+z^2=z (See Figure.) 相关知识点: 试题来源: 解析 Notice that the sphere passes through the origin and has center (0,0, 12). We write the equation ...