Find the area of the surface generated when the given curve is rotated about the x-axis.\ y = 6\sqrt{x} on [16,55] The area of the surface generated by revolving the curve about the x-axis is square units. (Type an exact answer, using \(x\) as needed.)
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Step 1: To find the area of the surface generated when the curve y = 6x on [16, 55] is rotated about the x-axis, we can use the formula for the surface area of a solid of revolution: \[A = 2\pi \int_{a}^{b} f(x) \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx\] where Show more…
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