-draw rectangle 27). Find the volume of the solid: y=x2-3 and y=15-x& around x= 6 -...
Show All Work:
4. Use the shell method to find the volume of the solid generated by rotating y = x2 – 3 and y = 15 – x2 about the line x = 7. (Set up only). You must graph the functions and draw the appropriate rectangle for full credit.
1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1.
1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1.
Question 3 2 Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis. About the y-axis 21 y y = 3x - x2 6 5 02 TT 00 27
27) In order to find the volume of the solid of revolution created by revolving the area under the curve y= x(over the interval [-1,3]) around the x-axis: Sketch the region, Draw the Representative disk or washer, Label i, Label the thickness, and Label the radius with the appropriate function. Write the Riemann Sum
27) In order to find the volume of the solid of revolution created by revolving the area under the curve y= x(over the interval [-1,3]) around...
Find the volume of the solid generated by rotating the region bounded by y = x2 and y = x about the line x = -1, using the washer method. it 1 y = x y=x² 1 Enter the exact value (for , type pi) or round to 3 decimals.
30) In order to find the volume of the solid of revolution created by revolving the area bounded by the curves y 4-x2, y Ln(x), and x-0.1 round the line x= -2: Sketch the region, Draw the Representative Shell, Label the location variable, Label the thickness, and Label the radius with the appropriate function. Write the Reimann Sum, convert to an integral and calculate the volume using a calculator or CAS Thickness Perimeter Height =
30) In order to find...
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...
Draw out washer, shell, or disc as indicated. Using a
reference rectangle is mandatory.
5) (24 points) Set up and evaluate an integral to find the volume of solid obtained by rotating about the given axis, the region bounded by the curves y=Vx and x= =18y. Use the given method. a. Axis: y-axis (Washer) b. Axis: y-axis (Shell)
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following lines. a. The line x 5 b. The line xE - 2 C. The x-axis d. The line y 25
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following...
1)
2)
Use shells to find the volume (in units”) of the given solid. Note that the rotated region lies between the curve and the x-axis and is rotated around the y-axis. Vineri 1 - ,X = 0, and x units Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis. y = 4 – x2, x = 0, y = 0 Х