Find the volume generated when the region defined by y = x, y = 2x/(1 + x3) is revolved around the y axis.

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Calculate exactly the volume of the solid obtained by rotating the area delimited by y=(x-2)^2 and…

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Q: Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x².

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Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

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Q: 6. Find the area of the region in the first quadrant which is bounded by y = 3x -8 and y=4-x a) 20/3…

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Q: Find the Volume of the region bounded by the graphs of y=√x and y=2sinx+1 and the x-axis with…

A: Given function fx=x and y=2sinx+1 and x-axis. We have to find the volume of region bounded by the…

Q: (c) Calculate the area of a region bounded by the curves y = -x and y = -x, the line y = -3, and y =…

A: Given the curve y2=-x and y=-x2, the line y=-3 and y=2

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

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