Question: Only 31 27-36 Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 27. vesix = x

Only 31

27-36 Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 27. vesix = x cos y, (0, 0) 28. tan(x + y) + sec(x - y) = 2, (1/8, TT/ 8) 29. x2/3 + 2/3 = 4, (-3\\/3, 1) (astroid) 30. y'(6 - x) = x3, (2, v2) (cissoid of Diocles) 31. x2 - xy - y? = 1, (2, 1) (hyperbola) 32. x' + 2xy + 4y2 = 12, (2, 1) (ellipse) 33. x2 + y2 = (2x2 + 2y2 - x)2, (0, 2) (cardioid)

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