This is a "washer" problem, where the volume is the sum of infinitely many rings or "washers" bounded by the curves. Because the region is being rotated around the line , the inner diameter of each washer is and the outer diameter of each washer is . This means the area of each ...
定积分求体积Sketch the region Ω bounded by the curves and use the shell method to find the volume of the solid generated by revolving Ω about the y-axis.x=|y|,x=2-y^2
一道英文的微积分题Find the volume of the solid that is obtained by rotating the region bounded by the curves y = sec xy = 1,and the lines x = -1,x = 1 about the x-axis. 答案 Using the disk/washer method, we generate washers upon roating the region about the x-axis.The bigger...
Set up a double integral to find the volume of the solid region bounded by the graphs of the equations z = 16 - 4x and z = 16 - x^2 - y^2 Use a double integral to find the volume of the solid bounded by: z = 4 - x - y over the ...
Find the volume of the solid obtained by rotating the region bounded by the curves y = x^4 and y = 1 about y = 4. Find the volume of the solid obtained by rotating the region bounded by the curves: y = x^2/9, x...
Answer to: Sketch the enclosed region and use the Shell Method to calculate the volume of rotation of the curves y = 4 - x^2, x = 0, y = 0 about...
Find the volume of the solid generated by revolving the region bound by the curves {eq}y=3x^2, y=3x {/eq} in the first quadrant about the x-axis. Calculus: Volume Of The Revolved Region Using Washer Method: To solve for the volum...
find the volume of the solid generated byrevolving the region bounded by the lines and curves about theX-aX15. 答案 结果二 题目 【题目】find the volume of the solid generated byrevolving the region bounded by the lines and curves aboutthex-axis.y=2x,y=x,x= 答案 【解析】相关...
【题目】find the volume of the solid generated byrevolving the region bounded by the lines and curves aboutthex-axis.y=2x,y=x,x= 相关知识点: 试题来源: 解析 【解析】 结果一 题目 find the volume of the solid generated byrevolving the region bounded by the lines and curves about theX-...
I have this problem bothering me. I am asked to find the volume bounded by two curves, when they were rotated about the y axis. I did it as usual...