D.) choose one of the inegrals in part b and part c and evaluate to find the volume. justify why you chose the integral over the other ??
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D.) choose one of the inegrals in part b and part c and evaluate to find the volume. justify why you chose the integral...
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y...
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y = x+1, x = 0 and x = - 27. (b) (3 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = 27. (c) (3 marks) Use the method of washers to set up, but do not evaluate, an integral for the...
7) Find the volume of the solid generated by rotating y = x and y =...
7) Find the volume of the solid generated by rotating y = x and y = x² about the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending on the method used like radii. Write your integral on the blank line. Find and box your numerical answer. By disks/washers By Shells
1. Consider the region bounded by the y-axis and the functions y and y-8 Set up (but do not evalu...
1. Consider the region bounded by the y-axis and the functions y and y-8 Set up (but do not evaluate) integrals to find (a) The area of this region. (b) The volume of the solid generated by rotating this region about the y ad sn axis using shells. (c) The volume of the solid generated by rotating this region about the vertical line r5 using washers 2. Set up (but do not evaluate) an integral to ind the work done...
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rot...
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rotated about the x-axis using shells (b) Rotated about the x-axis using washers (c) Rotated about the y-axis using shells (d) Rotated about the y-axis using washers (e) Rotated about the line x = −3 (f) Rotated about the line y = −2 (g) Rotated about the line y = 11 (h) Rotated...
7) Find the volume of the solid generated by rotating y = x and y =...
7) Find the volume of the solid generated by rotating y = x and y = xabout the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending on the method used like radii. Write your integral on the blank line. Find and box your numerical answer By disks/washers By Shells
Set up, but DO NOT evaluate an integral to find the volume of the following solid:...
Set up, but DO NOT evaluate an integral to find the volume of the following solid: The solid generated by rotating the region bounded between y=1+sec x, y = 3, 2 = 7/3, and x = -7/3 about the line y = 1. Use the washer method.
Find the volume (or set up integral) of the solid obtained by rotating the region bounded...
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained b...
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained by rotating the region bounded by (i) x- 'x=0,and y = 0 or (ii) x = x- 6, and y 0 about the line using cylindrical shells Watch It Talik to a Tutor Need Help? Read It Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis...
need it asap please 18) 8. The region is bounded by y = 2 - r-...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the...
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x2 and y = 4 about the line y = 4. Volume =
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y = x+1, x = 0 and x = - 27. (b) (3 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = 27. (c) (3 marks) Use the method of washers to set up, but do not evaluate, an integral for the...
7) Find the volume of the solid generated by rotating y = x and y = x² about the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending on the method used like radii. Write your integral on the blank line. Find and box your numerical answer. By disks/washers By Shells
1. Consider the region bounded by the y-axis and the functions y and y-8 Set up (but do not evaluate) integrals to find (a) The area of this region. (b) The volume of the solid generated by rotating this region about the y ad sn axis using shells. (c) The volume of the solid generated by rotating this region about the vertical line r5 using washers 2. Set up (but do not evaluate) an integral to ind the work done...
7) Find the volume of the solid generated by rotating y = x and y = xabout the line x = 2. Graph the region, the representative rectangle according to the method and include any other graphical information depending on the method used like radii. Write your integral on the blank line. Find and box your numerical answer By disks/washers By Shells
Set up, but DO NOT evaluate an integral to find the volume of the following solid: The solid generated by rotating the region bounded between y=1+sec x, y = 3, 2 = 7/3, and x = -7/3 about the line y = 1. Use the washer method.
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained by rotating the region bounded by (i) x- 'x=0,and y = 0 or (ii) x = x- 6, and y 0 about the line using cylindrical shells Watch It Talik to a Tutor Need Help? Read It Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis...
need it asap please
18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x2 and y = 4 about the line y = 4. Volume =
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