Lemniscate (a) The curve with equation y2 = x2 x4 is shaped like the numeral eight. Find

Chapter 4, Problem 58

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Lemniscate (a) The curve with equation y2 = x2 x4 is shaped like the numeral eight. Find dy dx at ( 1 2 , 1 4 _ 3). (b) Use a graphing calculator to graph the curve in (a). If the calculator cannot graph implicit functions, graph the upper and the lower halves of the curve separately; that is, graph y1 = _ x2 x4 y2 = _ x2 x4 Choose the viewing rectangle 2 x 2, 1 y 1.

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