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 enclosed by the curves is revolved about the x axis.
y = csc x, y =0, x=pi/3, x = pi/2
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 enclo...
Using method of cylindrical shells, determine the volume of the solid generated when the region enclosed by y= lnx, y=0, x= e is revolved about the .گاه -۷
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis. For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the the given axis. 13) y= Vx+2, y=2, x=1 Axis: y = 2 26) *= y2 - 1, x= Vy-1 Axis: x = 2 For each problem, find the volume of the specified solid. 2)...
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the the x-axis. You may use the provided graph to sketch the curves and shade the enclosed region 1) у-х?+1 2) x4 1 y=1 x= 2 у 32 A y 6 6 4 -6 -2 4 For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the the...
1. Find the volume of the solid that results when the region enclosed by y = zand the z-axis between x = 0 and x = 3 is revolved about the c-axis. (16 pts.)
3 1. Find the volume of the solid that results when the region enclosed by y = xż and the x-axis between x = 0 and x = 3 is revolved about the x-axis. (16 pts.) Dinh
2. (14 points) Find the volume of the solid that results when the region enclosed by y= x² VIn x, y = 0, and x = €2 is revolved around the r-axis. Give a simplified exact answer, i.e. do not put in decimal form. 50+
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.
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 1 + (y − 5)2, x = 17 2-Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9
Find the volume of the solid that results when the region enclosed by y= 2x – 1 and y= 22 – 1 is revolved around y = – 2. 41 XV S -6 7 1