Find the volume of the solid obtained by rotating the region bounded by y = sin and y = x? from r = 0 to r = 1, about the y-axis. Sketch a graph of the region. 一2

Q: 2. Graph and shade the region enclosed by the curves y= (x – 3) and y = x . Find the volume of the…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

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: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

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: 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