The curve y = 4 x 2 , 1 x 1, is an arc
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The curve y = √4 – x2, –1 ≤ x ≤ 1, is an arc of the circle x2 + y2 = 4. Find the area of the surface obtained by rotating this arc about the x-axis. (The surface is a portion of a sphere of radius 2. See Figure 6.)
Figure 6
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y X
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