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Find the area of the surface generated by revolving the curve?

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Final Answer:

To find the area of the surface generated by revolving the curve, we need to set up the integral that represents the area.

Explanation:

To find the area of the surface generated by revolving the curve, we need to set up the integral that represents the area. The formula for the area of a surface of revolution is given by:

$$A = \int_{a}^{b} \int_{c}^{d} 2\pi f(x,y)\sqrt{1 + (f'(x,y))^2} dy dx$$

where the outer integral is taken with respect to x, the inner integral is taken with respect to y, and f(x,y) is the z-coordinate of the point with x-coordinate x and y-coordinate y.

However, without the specific curve and function f(x,y), it is not possible to calculate the area of the surface generated by revolving the curve. Please provide the curve and function f(x,y) so that we can calculate the area of the surface of revolution.

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User Youngmi
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