+ = The region formed by y revolved around the y-axis. 3x - x³, y = 2, and y-axis is Find the volume. (Shell method.) Now suppose the region is revolved around the line x = 7. F Find the volume. (Shell method.)

Q: Plz solve #6 and don’t forget the graph plz. Find the volume of the solid generated by rotating the…

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Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

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Q: Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the…

A: Sol:- To find the volume of the solid using the given method, we can integrate the area of each…

Q: Determine the volume when the region, bounded by the given equations,

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Q: 1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid…

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Q: Find the area of the shaded region. x = y² -10 y (-75/4, 15/2) -30 - 20 x=5y-y -10 y 10 <-5 X

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Q: A pontoon is to be made in the shape shown. The pontoon is designed by rotating the graph of…

A: Given: y=1-x216; -4≤x≤4. We have to find the volume of the pontoon obtained by rotating about the…

Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

A: Metal casting limits is x-y=4,   x=y2-4y+4 (about x -axis) Now v=π∫x1x2fx2-gx2dx

Q: Find // 4x² y dA, where R is a region enclosed by 3x – 2y = 0,3x – 2y = 1, x + 3y = 0, and x + 3y =…

A: If we want to integrate f(x,y) over the region R. Under the transformation x=g(u,v), y=h(u,v) the…

Q: Let f(x) = e* sin x. Using the forward 2-point formula for 1st derivatives with truncation error 1:…

A: The derivative can be approximated using the Richardson approximation. The formula for the…