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Consider the portion of a hyperbola y = √x^2 - 1, on √2 ≤ x ≤ 2. a) Set up, but DO NOT evaluate, the integral with respect to x that represents the surface area obtained by rotating the curve about the y-axis. b) Set up AND EVALUATE the integral with respect to y which represents the area of the surface obtained by rating the curve about the y-axis.

Consider the portion of a hyperbola y = √x^2 - 1, on √2 ≤ x ≤ 2. a) Set up, but DO NOT evaluate, the integral with respect to x that represents the surface area obtained by rotating the curve about the y-axis. b) Set up AND EVALUATE the integral with respect to y which represents the area of the surface obtained by rating the curve about the y-axis.

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Consider the portion of a hyperbola y = √x^2 - 1, on √2 ≤ x ≤ 2. a) Set up, but DO NOT evaluate, the integral with respect to x that represents the surface area obtained by rotating the curve about the y-axis. b) Set up AND EVALUATE the integral with respect to y which represents the area of the surface obtained by rating the curve about the y-axis.

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