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7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine whether any of the points (x,y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of r? Justify your answer. Evaluate the slope of this implicit function at dx these points.

7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine whether any of the points (x,y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of r? Justify your answer. Evaluate the slope of this implicit function at dx these points.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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Need part B. 

7. A curve in the xy-plane is described by the equation 2y(x - 1) - xy² + 1 = 0. (a) Determine whether any of the points (x, y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of a? Justify your answer. Evaluate the slope of this implicit function at dx these points.
Transcribed Image Text:7. A curve in the xy-plane is described by the equation 2y(x - 1) - xy² + 1 = 0. (a) Determine whether any of the points (x, y) = (1,0), (2,0), (1, 1), (2, 1) and (2,2) lie on the graph of this function. (b) For which of the points determined in (a) does the equation define y as an implicit dy function of a? Justify your answer. Evaluate the slope of this implicit function at dx these points.
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