Q. Sketch the region enclosed by the curves y=2x^2 and y=2x. Find the volume of the solid when the region enclosed by the given curves is revolved about the x-axis
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A: We shall use shell method to calculate the volume:
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A: Answer
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A: We graph the region using a graphing calculator. Red is y=16-2x Blue is y=6 The shaded region is…
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A: Below is the solution to the question:-
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A: option A is Correct
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Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , x = 1 , about x = 2
A: We first sketch the region using a graphing calculator.
Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…
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Q. Sketch the region enclosed by the curves y=2x^2 and y=2x. Find the volume of the solid when the region enclosed by the given curves is revolved about the x-axis
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- Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.Determine the volume of the solid formed when the region enclosed by the curve y = √x, x -axis and the line x = 4, is revolved about the line x = 4.Determine the volume of the solid formed when the region enclosed by the curve y=√x, the x-axis and the line x=4, is revolved about the line x=4.
- What is the volume of the solid generated when the region bounded by the graph of y=x’3, the vertical line x=4, and the horizontal line y=8 is revolved about the horizontal line y=8?Find the volume of the solid generated when the area bounded by the curve y^2=x, x-axis and the line x=2 revolved about the x-axis.find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given axis. y = 16 − 2x, y = 6, x = 0, about x-axis
- Find the volume of the solid formed when the region bounded by the curve y²=x, the line y=1 and the y-axis, is revolved about the line y=2.Find the volume of the solid generated by revolving the region bounded by the y = x2 and y=6x-2x2 about the y axis. Plot the graphFind the volume of the solid whose base is the region enclosed between the curve x = 1−y² and the y-axis and whose cross sections taken perpendicular to the y-axis are squares.