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- Solve question 7.Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis.Graphs of x=f(y)=y(11−2y) and x=0 enclose a region in the first quadrant. Rotating that region about the x-axis generates a solid whose volume is:Solve parts (a) and (b). Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y=2x+15 and the parabola y=x^2 about (a) the x-axis and (b) the line y=25.
- Problem 6 Find the volume of the solid obtained by rotating the region bounded by y=5x^2, x=1, and y= 0 about the x-axis. V=1. The region bounded by the curves y =5x and y=x^2 is rotated about the x-axis. USE THE METHOD OF WASHERS to find the volume of the resulting solid. 2. The region from problem #1 (that is, bounded by the curves y = 5x and y=x^2) is now rotated about the y-axis. USE THE METHOD OF CYLINDRICAL SHELLS to find thevolume of the resulting solid1. The region bounded by the curves y =5x and y=x^2 is rotated about the x-axis. USE THE METHOD OF WASHERS to find the volume of the resulting solid. 2. The region from problem #1 (that is, bounded by the curves y = 5x and y=x^2) is now rotated about the y-axis. USE THE METHOD OF CYLINDRICAL SHELLS to find thevolume of the resulting solid. pls answer both of them
- 1. Find the volume of the solid of revolution generated by revolving the region bounded by the graphs of y = ex, y = 0, x = 0, and x = 2 around the line y = -1.The “triangular” region in the first quadrant bounded by the x-axis, the line x = 4, and the hyperbola 9x2 - 4y2 = 36 is revolved about the x-axis to generate a solid. Find the volume of the solid.1. a) Find the volume of the solid enclosed between the paraboloids z = 5x^2 + 5y^2and z = 6 − 7x^2 − y^2 using tripple integral. b) Please look at the picture and solve number 2 and 3 for me. Thank you.
- 3. Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the elliptic paraboloid z = x^2 + 2y^2.A gasoline tank is an oblate spheroid generated by revolving the region bounded by the graph of x2/16 + y2/ 9 = 1 about the y-axis, where x and y are measured in feet. How much gasoline can the tank hold?A solid of revolution is generated by rotating the region between the x-axis and the graphs of f(x)=x2+1, x=−1, and x=2 about the x-axis. Using the disk method, what is the volume of the solid? Enter your answer in terms of π.