Solution:
Use the following integral. sin(x) dx = sin(x) - x cos(x) + C Find 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...
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...
Find the volume of the solid generated by revolving the plane region bounded by the following equations about the x-axis (Use the WASHER method): Find the volume of the solid generated by revolving the plane region bounded by the following equations about the x-axis (Use the WASHER method):
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.
1) Find the volume of the solid generated by revolving the region bounded by the curves about the x-axis. Use the disk/washer method and show all work in evaluating the integral y=x", y = x 2) Find the volume of the solid generated by revolving the region bounded by the curves about the y-axis. Use the disk/washer method and show all work in evaluating the integral y=x, y = 8,x=0,
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...
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...
Use the shell method to find the volume of the solid generated by revolving the region bounded by y= 7x-6, y= 7x, and x = 0 about the y-axis. Set up the integral that gives the volume of the solid.
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
2. [-17.14 Points] DETAILS L'ARCALC11 7.2.010. Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the y-axis. y = -x? y 2 3. [-17.14 Points) DETAILS LARCALC11 7.3.004. MY NOTES ASK YOUR TEACHER 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 = 3 - x 3 a У 1