Show all work please. 1Find the area of the region bounded by the curves y 2x2...
Find the area of the region enclosed by the curves: x = -sec^2 y, x = sec^2 y, y = 0, y = pi/4 Using the method of cylindrical shells to find the volume of the solid that results when the region enclosed by the curves is revolved around the y axis. y = sqrt (x+1), y = 1, x = 1 y = 3 sqrt x, y =0, x =1 Find the volume of the solid that results when...
The region Bounded by the curves y=x2 is revolved about the x-axis. Give an integral for the volume of the solid that is generated. The region bounded by the curves y = 3x and y = x' is revolved about the x-axis. Give an integral for the volume of the solid that is generated. va | ndx (Type an exact answer using a as needed.)
please include all work done Let R be the region bounded by the curves y = V sin I and y=1/V2. Set up (DO NOT COMPUTE) an integral to find the volume of the solid generated when R is revolved about (a) the y-axis, and (b) the line 1=8.
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
Let R be the region bounded by the following curves. Use the method of your choice to find the volume of the solid generated when R is revolved about the x-axis. y=7x2 and y = 32-x2 Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x-axis. Let R be the region bounded by the following curves. Use the method of your...
4. Sketch the region enclosed by the curves y = x, y = 4x, y = -x +2, and find its area by any method. 5. Find the volume of the solid generated when the region between the graphs of f(x) = 1 + x2 and g(x) = x over the interval (0, 2) is revolved about the x- axis.
Show all work so that I can follow your thought process 1) Area between curves Determine the area of the region bounded by the following two functions: 2) Use the region bounded by the curves to determine the following volumes: a) Rotate the region around the x-axis b) Rotate the region aroundy 4 c) Rotate the region around the line x-1 Show all work so that I can follow your thought process 1) Area between curves Determine the area of...
The region bounded by the graphs of x-4y and y x 1. is revolved around y-axis. Find the volume of 2 - the solid generated in this manner. The region bounded by the graphs of x-4y and y x 1. is revolved around y-axis. Find the volume of 2 - the solid generated in this manner.
both parts please Consider the region in the first quadrant bounded by the curves y = 3x, y = 3 - (x - 1)2, and y = 2. (a) Sketch the region. Note all points of intersection. (You may use GeoGebra if necessary, but you can probably do it faster by hand.) (b) Using either the washer or shell method, set up (but do not solve) an integral that computes the volume obtained when the region is revolved about the...
Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the solid is (Type an exact answer.) Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the...