Find the area of the region bounded by the given curves and find the volume of the solid formed when it is rotated about the given axis: 1. y = 6x x and y = x about x = 0

Q: Q2A. Find the volume generated by revolving the shaded area shown in the fig below about X-axis TO…

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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: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x², x = 1, x = 5 and y…

A: If y is given as a function of x, say y = f(x); the volume of the solid obtained by rotating the…

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: 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: f(x) = 19 – x², x 20 f(x) = x - 3, x 2 0

A: We will find the volume as following.

Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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