The equation of a curve is y 2 4xy x 2 = 20. a. Find

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The equation of a curve is y2 − 4xy − x2 = 20.
a. Find the coordinates of the two points on the curve where x = 4.
b. Show that at one of these points the tangent to the curve is parallel to the x-axis.
c. Find the equation of the tangent to the curve at the other point.

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