Determine the equation of the line that is perpendicular to 2x+4 and intersects with the line at point (-2,0)

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Reid WolffLv2

24 Feb 2019

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5. (18 pts) A curve is given by the equation tan-(y) + x + y In(x - 1) = 2. The questions (a) - (e) below are about this curve. (a) (10 pts) Find y, using implicit differentiation. Show your work. . (b) (2 pts) Verify that the point (2,0) lies on this curve. 1 2 3 4 5 6 ) (2 pts) A part of the curve that contains a point (2,0) is shown in the figure. In the figure above, draw the line tangent to the curve at the point (2,0). (d) (2 pts) Find the slope of the line tangent to the curve at the point (2,0). (e) (2pts) Write an equation of the line tangent to the curve at the point (2,0).

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