Show that the surface area of a sphere of radius a is still 4a 2 by using
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Show that the surface area of a sphere of radius a is still 4πa2 by using Equation (3) to find the area of the surface generated by revolving the curve y = √a2 - x2, -a ≤ x ≤ a, about the x-axis.
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dy S = = ["^2y √ 1 + (2) dx = [² dx 2π f(x) V1 + (f'(x))² dx. (3)
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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