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3. Consider the curve y2 =54 + x and chord AB joining points A (-4, 0) and 3(0, 2) on the curve. (a) Find the x- and y-coordinates of the point on the curve where the tangent line
is parallel to chord AB. (b) Find the area of the region R enclosed by the curve and chordlAB. (c) Find the volume of the solid generated when the region R, deﬁned in part (b), is revolved about
the x-axis. c) “washers " (See bbcuagmm)
0W = 7r (Ra-251M. = 7r (5?:- 3:)dx. O .1 1993 AB303C1) ...
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- Fall '08