In summary, the conversation is about finding the volume bounded by two curves when they are rotated about the y-axis. The person has tried to solve the problem, but keeps getting a result that is not possible according to the graph. They mention the formula for the volume of revolution ...
18 The rank of elliptic curves 40:40 An arithmetic intersection formula for denominators of Igusa class polynomial 1:03:26 Undecidability in Number Theory 50:10 Abelian Varieties Multi-Site Seminar Series_ Drew Sutherland 1:10:26 Lifts of Hilbert modular forms and application to modularity of ...
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
Question: Consider the region bounded by the curves given below .set up the integrals that will compute the volume when region is rotated about {eq}y=-4{/eq} , {eq}y=4-x^2{/eq}, x-axis Volume of Solid of...
Let R be the region of the first quadrant bounded by the x-axis and the curve y = 2x - x^2. Find the volume produced when R is revolved around the x-axis. Find the volume obtained by rotating the region bounded by the...
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. ...
Find the volume of the solid generated by revolving the region enclosed by the curves y = 8/9 x^2 , x = 7 and y = 0 about the y-axis. Find the volume of the solid generated by revolving about the x - axis, the region bounded by curves...
1. Determine the volume of the solid formed by rotating the region bounded by $y = \dfrac{x}{2}$, $y= 4$, and $x =0$ about the $y$-axis. 2. Calculate the volume of the solid formed by rotating the region bounded by $y = 3\sqrt{x}$, $y= 1$, and $x =0$ about the...
CYLINDERS•Asillustrated,acylinderisboundedbyaplaneregionB1,calledthebase,andacongruentregionB2inaparallelplane.•ThecylinderconsistsofallpointsonlinesegmentsperpendiculartothebaseandjoinB1toB2.CYLINDERS•IftheareaofthebaseisAandtheheightofthecylinder(thedistancefromB1toB2)ish,thenthevolumeVofthecylinderis...
So, its volume is: VOLUMES Example 2 Find the volume of the solid obtained by rotating the region bounded by y = x3, Y = 8, and x = 0 about the y-axis. Example 3 VOLUMES As the region is rotated about the y-axis, it makes sense to slice the solid perpendicular to the y-...