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a. Determine the points where the curve 4x + By2 - y = 7 has a vertical tangent line. b. Does the curve have any

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a. Determine the points where the curve 4x + By2 - y = 7 has a vertical tangent line. b. Does the curve have any horizontal tangent lines? a. The curve has a vertical tangent line at the point(s) |:|. (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) \fThe equation x" = 12 (x - y ) implicitly defines one or more functions. Complete parts (a) through (c) below. . . . dy a. Find dx using implicit differentiation. dy dx3. Determine an equation of the tangent line and the normal line at the given point on the curve. b. Graph the tangent and normal lines on the given graph. 3(x2 +y2)2 = 100 (x2 -y2); (4,2) a. Write the equation for the tangent line. FD

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