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please include detailed steps, thank you!! (-1)"21+1 3) Eno 221+1 (2n+1)! Find sum not convergence #7...
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
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
Find the volume of the solid generated by rotating ? = ? ??? ? = ?^ 2 ????? ?ℎ? ???? ? = 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.
7. Match the volume of the solid obtained by rotating the region bounded by the given curves about about the given axis to the corresponding integra 1, the region bounded by y-V , х--8 and the x-axis about the x-axis. 2. the region bounded by 8 and the r-axis about the y-axis. 3, the region bounded by y-V , y-2 and the y-axis about the x-axis. 4. the region bounded by V2 and the y-axis about the y-axis. 5, 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 =
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = sec(x), y = 1, x = -1, and x = 1 about the x-axis. Volume
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5) Use Desmos to graph the region in the first quadrant that is bounded between the graphs of y=x+2, y = 3, and the y-axis. Then answer the following questions. a) (2 pts) Create a rough sketch of the region on your paper, and show an appropriate representative slice on your diagram that could be used to find the volume of the solid generated by rotating this region about the x-axis. b) (2 pts)...
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...
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved around the x - axis, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation m (a) First of all it can be computed as a single integral h(r)dr where o and This method is commonly called the method of Enter 'DW' for Disks/Washers or 'CS...
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 ??
5. For the region bounded by the curves y (r-1) and y +1: (a) (2 marks) Sketch the region. Label important. features, such as intersection points. -2メェ} =メ+! ,4) メー2メーメ+-1に6 ーメニE 2 y-1 メンメニ3 (b) (2 marks) Set up an integral that uses disks/washers to calculate the volume of the solid created...