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- Sketch the solid that results when the given circle of radius length 1 unit is revolved about the horizontal line that lies 1 unit below the center of that circle.Find the area of the surface formed by rotating the curve with the equation x ^ (2) - (y ^ (2)) / (4) = 1 around the ox axis?Find the area of the surface formed by revolving the portion in the first quadrant of the graph of x2/3 + y2/3 = 4, 0 ≤ y ≤ 8, about the y-axis.
- Graph the curve 8y2 = x2 (1 − x2 ). Use a computer algebra system to find the surface area of the solid of revolution obtained by revolving the curve about the y-axis.explain the geometric relationship between the answer found in part b and the surface defined aboveFind the area of the surface generated when the given curve is revolved about the y-axis.y = (x^2 / 4), for 8 ≤ x ≤ 10
- A group of engineers is building a parabolic satellite dish whoseshape will be formed by rotating the curve y = ax^2 about the y-axis. If the dish is to have a 18-foot diameter and a maximum depth of 2 feet, find the value of and the surface area (in squarefeet) of the dish.If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = c, where f(x) ≤ c, find a formula for the area of the resulting surface.Find the area of the surface generated when the given curve is revolved about the x-axis.