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1. The area between the part of the curve-6x 8 above the x-axis and the x-axis itself is 2. The a...
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the...
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the graph, (3)the graph is revolved about the x-axis, set-up integral which will compute its VOLUME, simplify the integrand as much as possible but DO NOT DO THE INTEGRATION. B. The triangle whose vertices are (0,0), (2,8) and (2,2) is revolved around the (a)x-axis, (b)y-axis (1)find the eqs. Of the sides, (2)draw graph, (3)compute (a) and (b) C. A student on test was asked to...
Find the total area of the region between the curve and the x-axis. y = x2...
Find the total area of the region between the curve and the x-axis. y = x2 - 6x + 9; 2 sx54
2. a) The area between the curve y= Vx,0 5x Sa and the x axis rotates...
2. a) The area between the curve y= Vx,0 5x Sa and the x axis rotates around the x axis. Determine the constant a so that the volume of the rotary body is 10 volume units. Y = -4 4 -X-2 1 b) Calculate the area of the shaded area in the figure (intersection points can be read from the graph). X-2
Show all work please. 1Find the area of the region bounded by the curves y 2x2...
Show all work please.
1Find the area of the region bounded by the curves y 2x2 - 8x + 12 and y=-2 + 12. Find the volume when the area in question/qis revolved around the 3-axis. Find the volume when the area in question/grevolved around the y-axis. Va is revolved around the Ib Find the volume of the region formed when the area enclosed by y = x3 and y 2-axis. Consider only positive values of x. Find the volume...
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 and...
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 andx- 2 about the x-axis; (iii) Rotate the region between y - x2 and y -6x-2x2 around the y-axis; (iv) Twirl the space between y V and x 2y about the line x 5 2. Use both methods discussed in class to compute...
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...
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...
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and l...
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
The region between y=x and y=(x-2)^2 is revolved about the x axis. Find the volume of the solid. Then find the volume if revolved about the y-axis.
The region between y=x and y=(x-2)^2 is revolved about the x axis. Find the volume of the solid. Then find the volume if revolved about the y-axis.
1) 2) Find the surface area of the volume generated when the curve y = Vx...
1)
2)
Find the surface area of the volume generated when the curve y = Vx revolves around the x-axis from (1, 1) to (16, 4). Interactive 3D Graph Help -20 -10 10 20 2-3 Calculate the arc length over the given interval. y : **?- in(x), (1,7) x
Find the area of the surface generated when the given curve is revolved about the x-axis....
Find the area of the surface generated when the given curve is revolved about the x-axis. x3 1 1 y = + 12 for 2 sxs1 х The area of the surface is square units. (Type an exact answer, using it as needed.)
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the graph, (3)the graph is revolved about the x-axis, set-up integral which will compute its VOLUME, simplify the integrand as much as possible but DO NOT DO THE INTEGRATION. B. The triangle whose vertices are (0,0), (2,8) and (2,2) is revolved around the (a)x-axis, (b)y-axis (1)find the eqs. Of the sides, (2)draw graph, (3)compute (a) and (b) C. A student on test was asked to...
Find the total area of the region between the curve and the x-axis. y = x2 - 6x + 9; 2 sx54
2. a) The area between the curve y= Vx,0 5x Sa and the x axis rotates around the x axis. Determine the constant a so that the volume of the rotary body is 10 volume units. Y = -4 4 -X-2 1 b) Calculate the area of the shaded area in the figure (intersection points can be read from the graph). X-2
Show all work please.
1Find the area of the region bounded by the curves y 2x2 - 8x + 12 and y=-2 + 12. Find the volume when the area in question/qis revolved around the 3-axis. Find the volume when the area in question/grevolved around the y-axis. Va is revolved around the Ib Find the volume of the region formed when the area enclosed by y = x3 and y 2-axis. Consider only positive values of x. Find the volume...
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 andx- 2 about the x-axis; (iii) Rotate the region between y - x2 and y -6x-2x2 around the y-axis; (iv) Twirl the space between y V and x 2y about the line x 5 2. Use both methods discussed in class to compute...
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
1)
2)
Find the surface area of the volume generated when the curve y = Vx revolves around the x-axis from (1, 1) to (16, 4). Interactive 3D Graph Help -20 -10 10 20 2-3 Calculate the arc length over the given interval. y : **?- in(x), (1,7) x
Find the area of the surface generated when the given curve is revolved about the x-axis. x3 1 1 y = + 12 for 2 sxs1 х The area of the surface is square units. (Type an exact answer, using it as needed.)
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