Calculate the volume generated by rotating the region bounded by the following curves about each axis. y = In(x), y = 0, x = 4 (a) the y-axis (b) the x-axis

Q: Revolve the region between y=x-x4 and y=0 about the y-axis. Find area

A: The given region is between y=x-x4 and y=0 and it is revolved around y- axis.

Q: Find fne volume og the sohid öL taimed by rotading he region giren by y=*, yz0, x=, and =2 albant…

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Q: Find the volume of the se

A: Given, the curve                   y2(a+x)=x2(a-x)

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: R is the region bounded by the functions f(x) = x + 2 and the x-axis and the lines x=1 and x=4.…

A: Given: 1) The given region is bounded by y=x4+x, y=0,x=0 and x=2 about the line x=4 2) The given…

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: Find the volume and the surface area that generated due to rotate the bounded area between the curve…

A: I use washer method to find volume about x axis