2. [-17.14 Points] DETAILS L'ARCALC11 7.2.010. Write and evaluate the definite integral that represents the volume...
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y =sqrt x + 12 y = x y = 0 Your last submission is used for your sc LARCALC11 7.3.022. RMy Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the x-axis. y = V x...
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y = V 1 2 3 4
Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis. y=√4x²
Please solve #13 and #17. In Exercises 13-16, use the shell method to set up and evaluate the integral that gives the volume of the solid generated hy revolving the plane region about the x-axis. 14.,-2-х 13.) у х 12 -2十 In Exercises 17-20, use the shell method to find the volume of the solid generated by revolving the plane region about the indicated line. x2, y 4x x2, about the linex-4 y In Exercises 13-16, use the shell method...
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 96x 7 9. Set up and evaluate the definite integral for the area of the surface formed by revolving graph of y-9-2 about the y-axis. Round your answer to three decimal places. 8. Use the shell method to set up and...
3. -/5 POINTS LARCALC11 7.3.017. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. Need Help? Read It Talk to a Tutor Show My Work Required What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times Show My Work has not been graded yet
2. [This problem is intended to measure the ability of students to apply the definite integral to determine the area (CO 5). Score 25] Sketch the region under the curve y = 2vx and y = 3 - x in the first quadrant. Find the area of the region. Find the center of mass of the region. 3. [This problem is intended to measure the ability of students to integral to determine the volume of solids of revolution (CO 5)....
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (Round your answer to three decimal places.) y = 1 − (x^2)/36 , 0 ≤ x ≤ 6
7. Set up and evaluate an integral that represents the volume of the solid under the plane y-z = 1 and above the bounded region enclosed by x 2y-y2 and x + y -4 For full credit, you must draw the region, find the points of intersection and show all steps. 7. Set up and evaluate an integral that represents the volume of the solid under the plane y-z = 1 and above the bounded region enclosed by x 2y-y2...
18. Evaluate: dx 19. Evaluate: dv 20. Find the volume of solid generated by revolving the region bounded by gra e,y-0, and x -0 about the x-axis. 18. Evaluate: dx 19. Evaluate: dv 20. Find the volume of solid generated by revolving the region bounded by gra e,y-0, and x -0 about the x-axis.