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...
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
First, graph both curves and the line in your calculator, so you can refer to the graph as you set up your integral. 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 ...
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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...
Answer to: A) Find the area enclosed by the curves y1(x) = 5x - x^2 and y2(x) = x. B) Now find the volume when the region above is rotated around...
Answer to: Consider the region bounded by the curves given below .set up the integrals that will compute the volume when region is rotated about...
Answer to: Find the volume of the solid obtained by rotating the region bounded by the curves: y = 1/x^6, y = 0, x = 4, x = 5; about y = -2. ...
In particular, our approach makes it possible to compute the area of planar domains bounded by subdivision curves or the volume of spatial domains bounded by subdivision surfaces.doi:10.1016/j.amc.2015.06.050Hakenberg, JanReif, UlrichElsevier Inc.Applied Mathematics & Computation...
Answer to: Find the volume of the solid generated by revolving the region bounded by the curves y = 6\sqrt x and y = 6x^2 about the x-axis. By...