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Consider the region bounded by y=In(2), y=0,2 = 4. Find the volume of the solid when...
Find the volume of the solid obtained when the region bounded by the y- axisthe region bounded byy- 3a2- andy-0 is rotated about the y - axis. Find the volume of the solid obtained when the region bounded by the y- axisthe region bounded byy- 3a2- andy-0 is rotated about the y - axis.
4. Find the volume of the solid obtained when the region bounded by y = 2r2 and y = 4.r is rotated about the line r = -3. Make sure to sketch the region and a typical cross section.
8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...
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...
4. Find the volume of the solid formed by revolving the region bounded by the graphs of y=r3, = 2 and y=1 about the y-axis 5. Find volume of the solid formed by revolving the region bounded by the graphs of y=x, y=1 and x = 2 about the line y = 10 6. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 2(x - 2)2 and y = 2 about...
4. Find the volume of the solid formed by the curves x = 1-y^4 and x= 0, and rotated about the y-axis 5. Calculate the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y=0, x=-2 https://gyazo.com/cedb31d3c70d20f6947f520b865a0307
The region bounded by x = 25 + y x = 0, y = 5, and y = 10 is rotated about the x-axis. Find the volume of the solid of revolution Use your calculator or computer to find the answer rounded to 4 decimal places. Preview The region bounded by x = 25 + y x = 0, y = 5, and y = 10 is rotated about the x-axis. Find the volume of the solid of revolution Use...
Question 13: (1 point) Find the volume of the solid obtained when the region bounded by the line y=x, the line x = 3, and the x-axis is rotated about the y-axis. (a) 247 (b) 4871 (c) 167 (d) 367 (e) 421 (1) 18T (g) 27 (h) 307
Question3 (a) Find volume of the solid generated by revolving the region bounded by the two parabolas y 2x2 and y-+4 about the y -axis. 17) Question3 (a) Find volume of the solid generated by revolving the region bounded by the two parabolas y 2x2 and y-+4 about the y -axis. 17)
Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis. 17)x= x=0, between y=- 4 and y = 4 17) 18) bounded by the circle x2 + y2 = 16, by the line x = 4, and by the line y = 4 18) Find the volume of the solid generated by revolving the region about the given line. 19) The region in the first quadrant bounded...